Simplify the expression
using only positive exponents.

Simplify The Expressionusing Only Positive Exponents.

Answers

Answer 1

The expression is simplified to y⁹/12x². Option A

What are index forms?

The index form of a number is simply described as a number written as an exponential expression.

It is described as a single number  raised to another number.

Index forms are also described as standard forms and scientific notation.

From the information given, we have;

3x^⁻⁴y⁵/(2x³y⁻⁷)⁻²

Now, expand the bracket of the denominator and multiply the values

3x^⁻⁴y⁵/2x⁶y⁻¹⁴

Divide the expression , we have;

3/-4 (x^⁻⁴y⁵/2x⁶y⁻¹⁴)

To determine the quotient, subtract the exponents of the denominator from the numerators

3× -4(x⁻⁴⁺⁶y⁵⁻¹⁴)

Now, add or subtract the exponential values, we get;

-12 (x⁻²y⁻⁹)

y⁹/12x²

Hence, the value is y⁹/12x²

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Related Questions

Find an equivalent expression using the Distributive Property.

4xy−16x

Answers

Your answer would be 4x(y-4)

Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence.
Start with n = 1.
an = -74 - 7

Answers

In the given arithmetic sequence, the First term is -74, 2nd term is -81 3rd term is -88 and 4th term is -95.

What is arithmetic sequence?

There are two ways to define an arithmetic sequence. It is a "sequence where the differences between every two successive terms are the same" (or) In an arithmetic sequence, "each term is obtained by adding a fixed number (positive or negative or zero) to its preceding term." The following is an arithmetic sequence where each term is obtained by adding 4 to the term before it.

We know that arithmetic sequence is:

[tex]a_{n}=a_{1}+(n-1)d[/tex]

Given

a = -74, d = -7

[tex]a_{1} = -74 + (1 - 1)(-7)[/tex]

[tex]a_{1} = -74 + (0)(-7)[/tex]

[tex]a_{1} = -74[/tex]  (First term)

[tex]a_{2} = -74 + (2 - 1)(-7)[/tex]

[tex]a_{2} = -74 + (1)(-7)[/tex]

[tex]a_{2} = -81[/tex] (2nd term)

[tex]a_{3} = -74 + (3- 1)(-7)[/tex]

[tex]a_{3} = -74 + (2)(-7)[/tex]

[tex]a_3 = -88[/tex] (3rd term)

[tex]a_{4} = -74 + (4- 1)(-7)[/tex]

[tex]a_{4} = -74 + (3)(-7)[/tex]

[tex]a_3 =-95[/tex] (4th term)

Thus, In the given arithmetic sequence, the  First term is -74, 2nd term is -81 3rd term is -88 and 4th term is -95.

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First, determine the range of the data without the outlier.
Then, determine the range of the data with the outlier.
Finally, make a conclusion about the effect of an outlier on range
Number of Purple Cars
Seen on the Way to School

A number line labeled number of cars ranges from 0 to 10 in increments of 1. It is titled number of purple cars seen on the way to school. Data are: 0, 3; 1, 3; 2, 2; 3, 1; 8, 1.
Number of Cars

Answers

The range of the data with the outlier is 7 and without is 2

How to determine the range

From the question, we have the following parameters that can be used in our computation:

0, 3; 1, 3; 2, 2; 3, 1; 8, 1.

The range without the outlier

The range is calculated as

Range = Highest - Least

Without the outlier, we have

Range = 3 - 1

Range = 2

The range with the outlier

The range is calculated as

Range = Highest - Least

With the outlier, we have

Range = 8 - 1

Range = 7

Hence, the range are 2 and 7

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What is y=1/3x-2 graphed on a graph

Answers

y = (1/3)x - 2 is an equation of a line where the slope of the line is 1/3 and the y-intercept of the line is -2.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

y = (1/3)x - 2

This is in the form of y = m + c

So,

This is an equation of a line.

The slope of the line = 1/3

The y-intercept of the line is -2.

Thus,

y = (1/3)x - 2 is an equation of a line.

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What is the distance between the points with coordinates 3/4 and 0 0 )?.

Answers

The distance between the pair of points with the coordinates ( 3, 4 ) and (0, 0) is given by 5 units.

As given in the question,

Given pair of points with the coordinates are as follow :

( x₁ , y₁ ) = ( 3,4 )

( x₂ , y₂ ) = ( 0, 0 )

General formula to determine the distance between two pair of points with the coordinates is :

= √( y₂ - y₁ )² + (x₂ - x₁ )²

Now, substitute the values of the coordinates to find the distance between two pair of points :

= √ ( 0 - 4 )² + ( 0 - 3 )²

= √4² + 3²

= √16 + 9

= √25

= 5 units.

Therefore, the distance between the given pair of points with the coordinates is equal to 5 units.

The above question is incomplete , the complete question is:

What is the distance between the pair of points (3, 4) and (0, 0) ?

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1.036
+_____
= 4
What is 1.036+ blank that equals 4.

Answers

Answer:

2.964

Step-by-step explanation:

4-1.036=2.964

Answer:

2.964

Step-by-step explanation:

4 - 1.036 = 2.964

Please help me with this question!

Tysm!

Answers

I would do 228-172 which would get u too 56

look at this graph...

Answers

It’s a linear graph with the equation on
y= 1/3x + 4.33

how do you get n=2^2x7

Answers

Answer:

n = 28

Step-by-step explanation:

2^2 is equal to 4, so we can plug in 2^2 as 4. Then, 4 * 7 = 28, so n = 28.

Use the number line to solve -2+4

Answers

Answer:

-2+4=2

Step-by-step explanation:

All you need to do is count 4 spaces from -2 on the number line. See in image.

-Hope this helped

last year, Reuben biked 496 miles. This year, he biked m miles. Using m, write an expression for the total number of miles he biked.

Answers

The total number of miles Reuben biked last year and this year is the sum of the miles he biked last year and this year.

You can represent the total number of miles he biked as:

Total miles = 496 + m

Where 496 is the number of miles biked last year and m represents the number of miles biked this year.

So the expression for the total number of miles he biked is 496 + m

How do you determine if a function is convex or concave?.

Answers

An intuitive definition: a function ݂f is said to be convex at an interval I if, for all pairs of points on the ݂f(x) graph, the line segment that connects these two points passes above the ݂f(x) curve.

A function ݂ is said to be concave at an interval I if, for all pairs of points on the graph f(x), the line segment that joins these two points passes below the ݂f(x) curve.

A convex function has a regularly increasing first derivative, making it appear to bend upwards.

Contrarily, a concave function has a regular decreasing first derivative making it bend downwards. It is very important to know the distinction between the first derivative, that tells us of the slope of the tangent of a function, and the second derivative, which shows us how it is curved.

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A cla contain b boy and g girl if the number of way of electing 3 boy and 2 girl i 168

Answers

Since b and g are the numbers of boys and girls in class b + 3g is equal to [tex]b^3 - 3b^2 + 5g^2 - 3g + 2b[/tex]

We can use the concept of combination to determine the value of b + 3g.

The number of ways to choose 3 boys from b boys and 2 girls from g girls is:

(b choose 3) x (g choose 2) = (b! / (3!(b-3)!) ) x (g! / (2!(g-2)!) ) = (b x (b-1)(b-2))/(321) x (g(g-1))/(2 x 1)

We know that this is equal to 168, so we can set up the equation:

(b x (b-1)(b-2))/(321) x (g(g-1))/(2 x 1) = 168

We can solve this equation to find the value of b + 3g. Since b and g are the numbers of boys and girls in the class, we know that b + g is the total number of students in the class.

So we can simplify the equation as:

(b x (b-1)(b-2)) x (g(g-1)) = 32121 x 168

and rearrange it to:

[tex](b^3 - 3b^2 + 2b) * (g^2 - g) = 1008[/tex]

[tex]= b^3 - 3b^2 + 2b = 1008 / (g^2 - g)b + 3g \\= (b^3 - 3b^2 + 2b) + 3(g^2 - g) \\= b^3 - 3b^2 + 2b + 3g^2 - 3g \\= b^3 - 3b^2 + 5g^2 - 3g + 2b[/tex]

So we can see that b + 3g is equal to b^3 - 3b^2 + 5g^2 - 3g + 2b. However, the exact value cannot be determined without the specific values of b and g.

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Can someone help me fast need help on it for grade tomorrow

Answers

Answer:

x = 5

Step-by-step explanation:

Angles on a straight line add up to 180, so add up the angles and equate to 180:

9x + 85 + 10x = 180

Now we can solve for x by simplifying further:

19x + 85 = 180

Subtract 85 on both sides:

19x + 85 - 85 = 180 - 85

19x = 95

Divide 19 on both sides which cancels out the 19 on the left:

x = 95/19 = 5

Can the square root of a negative number be negative?.

Answers

The square root of negative number can be negative imaginary number (complex number)

As we know the square root of a number is nothing but the factor/value that we can multiply by itself to get that number.

Finding a square root of number is an inverse method of squaring a number.

A radical symbol '√' used to represent the square root of number.

If m is the square root of n, then it is represented as m = [tex]\sqrt{n}[/tex],

We can write above relation as, m² = n

We know that square of any real number is positive.

For example, 3² = (3 × 3) = 9

(-3)² = (-3) × (-3) = 9

i.e., the square root of 9 is 3 and -3

Thus the square root of a negative number is undefined among the set of Real Numbers.

As we know the set of real numbers is subset of complex numbers.

In complex numbers, the imaginary number 'i' is the square root of negative 1.

When an imaginary number is squared, the result is negative number.

Consider example,

[tex]\sqrt{-16}\\\\ =\sqrt{16} \times \sqrt{-1}\\\\ =(\pm 4)\times i\\\\=\pm4i[/tex]

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An experienced ice kater pin on the ice, creating a perfect circle with a diameter of 2 yard. What i the circle' radiu?

Answers

The radius of the circle created by the ice skater is 1 yard.

What is circle ?

A circle is a two-dimensional geometric shape that is defined by a set of points that are all the same distance from a central point called the center. The distance from the center to any point on the circle is called the radius. The distance across the circle, passing through the center, is called the diameter.

The radius of a circle is half of its diameter, so the radius of a circle with a diameter of 2 yards is 1 yard.

Radius = Diameter/2

Radius = 2/2 = 1 yard

So, the radius of the circle created by the ice skater is 1 yard.

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The radius of a circle is half of its diameter, so the radius of a circle with a diameter of 2 yards is 1 yard.

Radius = Diameter/2

Radius = 2/2 = 1 yard

So, the radius of the circle created by the ice skater is 1 yard.

What is complex rational algebraic expression *?.

Answers

The numerator and denominator of a complicated rational expression must first be written as a single algebraic fraction in order to simplify the expression.

[tex]\frac{P(x)}{Q(x)}. Q(x)P(x)[/tex]

After that, simplify the result by multiplying the numerator by the reciprocal of the divisor. A rational expression with a fraction in the numerator, denominator, or both is referred to as a complex fraction. In other words, the overall fraction contains at least one small fraction.

There are two methods for reducing the complexity of fractions. For the numerator and denominator, identify common denominators. Make the numerators simpler. Add to the denominator and subtract the rational expressions from the numerator. Simplify.

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Yeterday King Kog Bike old 9 road bike and 3 tationary bike out of a total of 60 bike. Baed on thi data, what i the probability that the next cutomer purchae a tationary bike?

Anwer in the form of a fraction reduced to the lowet term

Answers

If the historical data says that the number of road bikes sold is 9 and the number of stationary bikes sold is 3, out of a total of 60 bikes, then  the probability that the next customer purchase a stationary bike is 1/20.

A probability based on historical data is referred to as empirical probability or experimental probability. In other words, empirical probability depicts the probability of an occurrence occurring based on past data.

Empirical probability is also known as the relative frequency.

Formula for the empirical probability is:

Empirical probability = times of event A occurs / total number of trials

In the problem, there are two kinds of bike: road bike and stationary bike.

The historical data:

sales of road bike = 9

sales of stationary bike = 3

total bikes = 60

Hence, the probability that the next customer will buy a stationary bike is:

P(stationary) = sales of stationary bike / total bikes

P(stationary) = 3/ 60 = 1/20

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Solve equation by using the quadratic formula. 6 x squared minus 2 x = 8 a. X = three-fourths, negative 1 c. X = three-fourths, 0 b. X = three-fourths, 1 d. X = four-thirds, negative 1.

Answers

The roots of the quadratic equation 6x²-2x=8 are x=4/3 and x=-1.

Given that,

The equation is 6x²-2x=8

To find : The roots of the quadratic equation 6x²-2x=8

Any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known values, where a 0, is referred to as a quadratic equation in algebra (from Latin quadratus, "square"). The equation is linear, not quadratic, if a = 0 and b 0. The coefficients of the equation are the numbers a, b, and c, which can be separated by naming them, respectively, the quadratic coefficient, the linear coefficient, and the constant coefficient or free term.

We know that,

The solutions are x1 and x2  = -b±√b²-4ac/2a

Here b = -2 ,a = 6 and c= -8

No substitute those values in the formula,

= -b±√b²-4ac/2a

= -(-2) ± √(-2²)-4(6)(-8) / 2(6)

x = 4/3 and x =-1

So, The roots of the quadratic equation 6x²-2x=8 are 4/3 and -1

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are the inhabitants of a certain village on the Nigerian border speaker the French or English if 64% speak French and 58% speak English what percentage speak
both languages? Two set problems​

Answers

Answer: We can use the formulas for conditional probability to calculate the percentage of people in the village who speak both French and English.

P(French and English) = P(French) x P(English|French)

We know that P(French) = 64% and P(English|French) is the probability of someone speaking English given that they already speak French, which is 58%. So we can plug these values into the formula:

P(French and English) = 64% x 58% = 37.12%

Therefore, 37.12% of the inhabitants of the village on the Nigerian border speak both French and English.

Note that this is an estimation since this formula assumes independence and the real probabilities might be different.

Step-by-step explanation:

Problem and inncorrect solution
-2(8m +8)= -16

Answers

Answer:

no its incorrect

Step-by-step explanation:

-2(8m+8)=-16 is worng its m=0

The problem is incorrect.

The correct solution for the given equation is:

-2(8m +8) = -2(8m) -2(8) = -16m -16

You cannot simplify it to -16 as the equation is not a true equation.

Please let me know if there is something more I can assist you with.

Due Today
What is the formula for the area of the rectangle find the length of the base find the length of the height

Answers

The area of the rectangle is 20. The length of the base and the height are 2√10 and √10.

From the case, we know that each point's locations are:

A = (-7, 4)

B = (-1, 6)

C = (0, 3)

D = (-6, 1)

Since the graph is a rectangle then it has 2 kind of sides, the height and the weight. Based on the given graph, we can categorize each side as:

Height = BC = DA

Base = AB = CD

We can find the length of each sides by using the coordinates of each point.

Length of a side = √[(x2 - x1)² + (y2 - y1)²]

Lenght of AB = √[(xB - xA)² + (yB - yA)²]

Length of AB = √[(-1 - (-7))² + (6 - 4)²]

Length of AB = √[6² + 2²]

Length of AB = √(36 + 4)

Length of AB = √40

Length of AB = 2√10 --> Length of the base

Length of BC = √[(xC - xB)² + (yC- - yB)²]

Length of BC = √[(0 - (-1))² + (3 - 6)²]

Length of BC = √(1² + (-3)²)

Length of BC = √(1 + 9)

Length of BC = √10 --> Length of the height

The area of the rectagle would be:

Area = base x height

Area = 2√10 × √10

Area = 20

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A rental car company charges $40.50 per day to rent a car and $0.12 for every mile driven. Sebastian wants to rent a car, knowing that: He plans to drive 400 miles. He has at most $210 to spend. Write and solve an inequality which can be used to determine dd, the number of days Sebastian can afford to rent while staying within his budget. Inequality: dd

Answers

Answer:

88.50

Step-by-step explanation:

0.12x400=48 dollars +the 40.50 dollars answer 88.50

number 5 math heellppp

Answers

The value of x as shown in the straight line is 32

What is an equation?

An equation is an expression showing the relationship between numbers and variables.

An angle is formed when two lines intersect at a point. The sum of angles in a straight line is 180 degrees.

From the diagram:

(3x - 4) + (3x - 8) = 180° (sum of angle in a straight line)

3x + 3x - 4 - 8 = 180

6x - 12 = 180

6x = 192

x = 32

The value of x is 32

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How do you find the range of a function?.

Answers

The range is the spread of the values of the output of a function.

To Find : The Range of a Function ,Consider a function y = f(x)

The spread of all the y values from minimum to maximum is the range of the function. In the given expression of y, substitute all the values of x to check whether it is positive, negative or equal to other values. Find the minimum and maximum values for y. Then draw a graph for the same.

The range of a function is a set of all its possible outputs.

Example: Let’s consider a function ƒ: A⇢A, where A = {1,2,3,4}.

The elements of the set Domain, are called pre-images, and elements of the set Co-Domain which are mapped to pre-images are called images. The range of a function is a set of all the images of elements in the domain. In this example, the range of the function is {2,3}.

The range is the spread of the values of the output of a function. If we are able to calculate the maximum and the minimum values of the function, we can get an idea of the range of the function.

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What is the slope of the line that passes through the points (9, 5)(9,5) and (21, -5)(21,−5)? Write your answer in simplest form.

Answers

The slope of a line is determined by the formula:

(y2 - y1) / (x2 - x1)

So for the points (9, 5) and (21, -5), the slope would be:

(-5 - 5) / (21 - 9) = -10 / 12 = -5/6

So the slope of the line that passes through the points (9, 5) and (21, -5) is -5/6 in simplest form.

How do you divide two digit numbers without a calculator?.

Answers

The process of dividing the two digit numbers without a calculator is solved by using the dividend, divisor, quotient and remainder.

Division in math is defined as the process to distribute the whole thing to a group in equal parts or make equal parts.

Here we need to find he way to divide two digit numbers without a calculator.

As per the definition of division, here we have to divide the first number of the dividend or the two first numbers if the previous step took another digit by the first digit of the divisor.

And then we have to write the result of this division in the space of the quotient.

Finally we have to multiply the digit of the quotient by the divisor, then write the result beneath the dividend and subtract it.

This process is repeated until we get zero as remainder.

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8. If the system has no
solution, what number
does the value of h need
to be? Show your work to
justify your answer.
− 6(hx + 2) = 3(x − 3) + 2(x + 2) +13x

Answers

The system has no solution when h is not equal to ( 18x+7 )/( -6x)

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

− 6(hx + 2) = 3(x − 3) + 2(x + 2) +13x

-6hx-12=3x-9+2x+4+13x

=>  -6hx-12= 18x-5

=> -6hx = 18x-5 +12

=>  -6hx = 18x+7

=> h = ( 18x+7 )/( -6x)

The system has no solution when h is not equal to ( 18x+7 )/( -6x)

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How does the process of solving an inequality with variables on both sides compare to solving an equation with variables on both sides?

Answers

Answer: It's the same process to get the variable by itself. But once found depending on how you are required to represent the solution, the final answer may vary. You need to also keep in mind that with negatives when multiplying and dividing you have to flip the inequality sign.

Step-by-step explanation:

Ex. 2x>4

x>2

but if

-2x>4

x<-2

<
The double number line shows how many bananas are needed to make 1 loaf of banana bread.
0
Loaves ++
Bananas H
1
+
+
2
Complete the table to show the same information as the double number line.
Number of loaves Number of bananas
5

Answers

The complete table would look like this:

Number of loaves    Number of Bananas

1                                    2 1/2

2                                   5                            

4                                    10

What is a number line?

A number line is a visual representation of a continuous range of numbers, usually represented as a straight line. Numbers are represented by points along the line, and the distance between two numbers corresponds to the difference between their numerical values. The numbers are usually represented by evenly spaced marks or tick marks on the line, and they can be positive or negative numbers, integers or fractions, or real numbers. The number line is used to represent various mathematical concepts such as inequalities, absolute values, and intervals. It is also used to help students understand concepts such as addition, subtraction, and ordering of numbers.

So the first one was easy because it already said it in the number line.

For the second one you simply multiply 2x 2 1/2

For the third one, you multiply 4x 2 1/2.

Hence, The complete table would look like this:

Number of loaves    Number of Bananas

1                                    2 1/2

2                                   5                            

4                                    10

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Online Gaming Vs. Outdoor GamingExplain why Online Gaming is better than Outside Gaminguse this source: gamengadgets.com/online-gaming vs-outdoor gaming.com In the second paragraph, the author contrasts the various attitudes toward McDonald's primarily toAhighlight the global prevalence of McDonald'sBsuggest that the cost of McDonald's varies per countryCexplain the timeline of McDonald's openings across the worldDidentify the similarities between Canadian and Chinese cultures What is the format of the essay write an analytical essay?. What kind of poetry is Ode on a Grecian Urn?. Figure 16.2 summarizes the classic method for separating a mixture of common cations by selective precipitation. Explain the chemistry involved with each of the four steps in the diagram. How many coins are in a nickel?. A rooster with grey feathers is crossed with a hen of the same phenotype. they produce 15 chicks with grey feathers, 7 chicks with black feathers, and 8 chicks with white feathers. what is the simplest explanation for this inheritance pattern? Four children were born at City Hospital yesterday. Assume each child is equally likely to be a boy or a girl. Which of the following outcomes is most likely?(A) all 4 are boys (B) all 4 are girls (C) 2 are girls and 2 are boys (D) 3 are of one gender and 1 is of the other gender (E) all of these outcomes are equally likely A small bead with a mass of 150 g slides along a semicircular wire with a radius of 20 cm that rotates about a vertical axis at a rate of 3 revolutions per second. Find the value of for which the bead will remain stationary relative to the rotating wire. (Assume the bead slides without friction.) What is the charge of the monatomic cation usually formed by each of the following metals? Remember to include the sign with each charge, and enter the number along with the correct sign of the charge in each case. (Do NOT re-enter the element symbols.)Zn Ag Cd What happens when you create a Cartesian product Mcq?. Sarah makes $43,000 per year, is single, and lives in connecticut. She has $19,000 in direct subsidized loans and $8000 in direct unsubsidized loans. How did seven weeks war lead to German unification? During civil lawsuit proceedings regarding alcohol service, courts will try to determine if thedesignated driver was present and remained sober. guest's BAC was checked throughout the evening. server recently attended proper alcohol training, server contributed to the injury. Rowan spends 20% of his monthly salary on food while spending 30% of the remainder on transport. He saves the rest for clothes. What percentage of the salary does he save for clothes? Which of the following best explains why it is not possible to use computers to solve everyproblem?A. Current computer processing capabilities cannot improve significantly.B. Large-scale problems require a crowdsourcing model, which is limited by the number of peopleavailable to work on the problem.C. The ability of a computer to solve a problem is limited by the bandwidth of the computer's Internetconnection.D. There exist some problems that cannot be solved using any algorithm. TRUE/FALSE. without the force of friction, people would not be able to walk. please select the best answer from the choices provided. Read the excerpt from how the Grimm brothers save the fairytale how does the author support the main idea in this paragraph. options:with a claim that narratives show brutal living conditions, with three titles of stories from the brothers grimm, with an example that shows why the stories are fit for children, with an example that shows a specific brutal living condition 7. I went to get hamburgers. I bought eight and it cost $51.92How much was each burger? Which is not a pattern of age-related changes in the development of emotion regulation?