Which applies the power of a power rule properly to simplify this expression?

Which Applies The Power Of A Power Rule Properly To Simplify This Expression?

Answers

Answer 1

Answer:

D.

Step-by-step explanation:

[7^(-8)]^(-4) =

A power raised to a power: multiply the exponents.

= 7^[(-8)*(4)]

= 7^(32)

Answer: D.

Answer 2

Answer:

7^32, the fourth option

Step-by-step explanation:

For the power rule, if you have a number to a power, for example [tex]x^{a}[/tex] and raise it to another power so it becomes, [tex](x^{a} )^{b}[/tex], We simplify by multiplying the powers together. So the simplified answer would be [tex]x^{(a*b)}[/tex].


Related Questions

wahts the gcf and lcm of 18 and 30

Answers

Hey there. So first, to work out the LCM, we need to find the multiples of 18 and 30. We’ll start with 18, and we’ll stop at a reasonable number.

18, 36, 54, 72, 90.
30, 60, 90, 120.

Already we notice that 90 is the smallest multiple that is evident in both numbers. So 90 is your LCM.

Now for the GCF, we want to begin by creating a factor tree for 18 and 30. I found one on the internet so it’s easier to view.

When finding the GCF, you want to circle all the prime numbers you have, so in this case, for 18, we have 2 x 3 x 3. They’re all prime.

For 30, we have 2 x 3 x 5. They’re all prime.

If we now circle the numbers that are common in both so we have (2) in 18 and 30, and we have (3) in 18 and 30. We are left with 5 and 3, ignore them for now. Because we managed to circle 2 and 3, if we multiply them together, we get 6. So the GCF of 18 and 30 is 6. And the LCM of 18 and 30 is 90.

Sorry if this sounds confusing, i tried my best.

Translate each of the following algebraic expressions into word phrase.

7x-7​

Answers

-49x

Multiplying a positive and a negative equals a negative:
-7x7
Which gets you -49x

Ned had 76 boxes. together the boxes weighed 723 kilograms. About how much did each box weigh

Answers

Answer: ~9.51 kilograms each.

Step-by-step explanation: 723/76=9.5131

х2 + 2x, 3х + 5, x2 + 1, 6x - 4

Answers

Answess

Step-by-step explanation:

want to check my answer​

Answers

Answer:

Yes. The answer is good 3x+1

Looks good! I think it good

Can someone plz help me?

Answers

Answethe answer is 12

Step-by-step explanation

Answer:

13 i think

Step-by-step explanation:

if x is 4 and you div then it become 3 then you square the other 3 thats 9 then you add and boom its 13

7/8 minus1/4 minus 1/2

Answers

7/8 minus1/4 minus 1/2

7/8 - 1/4 - 1/2 =

(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =

7/8 - 2/8 - 4/8 =

(7 - 2 - 4)/8 =

1/8

the answer is 1/8

The shortest side of a right triangle measures 16 m. The lengths of the other two sides are consecutive . Find the lengths of the other two sides.

Answers

Answer:

this is hard

Step-by-step explanation:

solve the following quadratic equation ​

Answers

27x^2 = 3

27x^2 - 3 = 0

3(9x^2 - 1 ) = 0

9x^2 - 1 = 0

( I think this is it- )

The number of feet in an unknown
number of yards. Let b = the variable.
Algebraic expression:

Answers

There are 3feet in one yard.

Let B = number of feet

Let Y = number of yards

B = 3Y

Which polynomial is prime? x4 3x2 â€"" x2 â€"" 3 x4 â€"" 3x2 â€"" x2 3 3x2 x â€"" 6x â€"" 2 3x2 x â€"" 6x 3.

Answers

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.

Check all the options in order to determine the given polynomial is prime or not.

A) [tex]x^4+3x^2-x^2-3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

B) [tex]x^4-3x^2-x^2+3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

C) [tex]3x^2+x-6x-2[/tex]

Now, try to factorize the above polynomial.

[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

D)  [tex]3x^2+x-6x+3[/tex]

The given polynomial is not factorized further therefore, this polynomial is is a prime.

For more information, refer to the link given below:

https://brainly.com/question/17822016

that was sooo good !

Answers

yea, what was good? you cant just say that something is good with no explanation lol

P(x)=3x 4 −2x 3 +2x 2 −1P, left parenthesis, x, right parenthesis, equals, 3, x, start superscript, 4, end superscript, minus, 2, x, cubed, plus, 2, x, squared, minus, 1 What is the remainder when P(x)P(x)P, left parenthesis, x, right parenthesis is divided by (x+1)(x+1)left parenthesis, x, plus, 1, right parenthesis?

Answers

The remainder when the polynomial is divided by x + 1 is 2

Given the function P(x)=3x^4 −2x^3 +2x^2 −1, to get the rmainder if the polynomial is divided by x + 1, we will substitute x = - 1 into the function to have:

P(-1) = 3(-1)^4 −2(-1)^3 +2(-1)^2 −1

P(-1) = 3(1) - 2 + 2(1) - 1

P(-1) = 1 + 1

P(-1) = 2

Hence the remainder when the polynomial is divided by x + 1 is 2

Learn more on polynomials here: https://brainly.com/question/4142886

Answer:

6

Step-by-step explanation:

:)

3.52 in expanded form

Answers

Step-by-step explanation:

3.52 =

3

+ 0.5

+ 0.02

hopes this helps you

Solve for x. 7x+8>4x+4​

Answers

Answer:The inequality is x > -4/3.Step-by-step explanation:7x + 8 > 4x + 4​=> 7x - 4x > -8 + 4​=> 3x > -4=> x > -4/3Conclusion:

Hence, the inequality is x > -4/3.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

x > - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

7x + 8 > 4x + 4 ( subtract 4x from both sides )

3x + 8 > 4 ( subtract 8 from both sides )

3x > - 4 ( divide both sides by 3 )

x > - [tex]\frac{4}{3}[/tex]


Helena is planning to put new tile on her kitchen floor, the
dimensions of which are given above. Find the area, in square
feet, of the kitchen floor.
A. 58
B. 31,680
C. 356
D. 276

Answers

Answer: B

Step-by-step explanation:

PLSSSS HELP I WILL GIVE BRAINLIEST

Which statements are true about the ordered pair (7, 19) and the system of equations?

{2x−y=−5x+3y=22


Select each correct answer.


The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.

The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.

The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

The ordered pair (7, 19) is a solution to the system because it makes both equations true.

Answers

Answer: The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

Step-by-step explanation:

In the ordered pair (7,19), 7 is the x and 19 is the y. Plug those in and multiply.

2(7)-19=-5

-5=-5

7+3(19)=22

64 doesn't =22

SO, one part of the equation is wrong making the ordered pair wrong.

Complete the sentence.

Twenty-seven is % of 60.

Answers

The answer is 16.2%

Answer:

45 percent

Step-by-step explanation:

Have an awesome day!

What is the coefficient in this expression? (34mn)


34

3

n

4

Answers

34
have a good day :]

The coefficient in this expression is 34.

The first option is the correct answer.

What are variables and coefficients?

The variable can have any value. That is, you can change the value of the variable. The value of the coefficient does not change, but changes in the value of the variable can change the value of the term containing the variable and the coefficient.

In formulas, coefficients are constants that are multiplied by variables. Consider the following equation: 3 x 2 + 5x-3 = 0. ax3 + x 2 = z. The values ​​3 and 5 in the first equation are the coefficients of the variable x.

Learn more about coefficient of expression here https://brainly.com/question/525935

#SPJ2

what is the product of 9,028 x 100,000

Answers

Answer:

902,800,000

Step-by-step explanation:add the 5 zeros from 100,000 to 9,028

The perpendicular bisector of a line segment is called​

Answers

Answer:

Circumcenter

Step-by-step explanation:

Solución

10x-3x=11+10

Answers

Answer: x=3

Step-by-step explanation:

x=3
10x-3x=11+10
7x=21
x=3

Jose has scored 854 points on his math tests so far this semester. To get an A for the semester, he must score at least 876 points.

Answers

Answer:

It is 22

Step-by-step explanation:

ASAPPPP HELPPPP PLEASEEEE

Answers

Answer:

27.6

Step-by-step explanation:

sin29=x/57

0.48480962=x/57

x≈27.6

help me with this question plzzzzzzz

Answers

Answer:

The base is 9.4 milliliters

Step-by-step explanation:

First, you would notice that they give you the perimeter of it. Meaning 51.4 was a sum of adding the height and base length twice. So you would take 51.4 and subtract 16*2 from it. Which would be 19.4. Next, since 19.4 would be both bases added, and they are both the same, you would do 19.4/2=9.4

The base is 9.4 milliliters.

Answer:

9.7

Step-by-step explanation:

P=2B+2H=51.4

B+H=25.7

H=16

B=25.7-16

B=9.7

Help me with my math work please! Whoever helps gets 50 points! Thnx!

Answers

Answer:

6) y=-2

7) w=15

8) x=1

Express 0.16 bar as a rational number

Answers

It’s would be 4/25


Mark as brainliest

What is the next term of the geometric sequence?
108, 36, 12,


Pls lmk

Answers

Answer:

4

Step-by-step explanation:

Answer: 4

Step-by-step explanation: 108/3 is 36, 36/3 is 12, and 12/3 is 4. :)

A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?

A) 2 inches and 36 inches
B) 4 inches and 18 inches
C) 8 inches and 9 inches
D) 11 inches and 11 inches

IT IS NOT D, I TRIED IT AND IT DOESNT WORK!

Answers

A rectangle has a perimeter of 44 inches and an area of 72 square inches.Perimeter = 44 inches, area = 72 square inches.Let the length and breadth be l and b respectively.We know, perimeter of a rectangle = 2(l + b)Therefore,2(l + b) = 44

or, l + b = 22

or, b = 22 - l ...(i)

We know, area of a rectangle = lbTherefore,lb = 72Putting (i) in b, we getl(22 - l) = 72

or, 22l - l^2 -72 = 0

or, l^2 - 22l + 72 = 0

or, l^2 - 4l - 18l + 72 = 0

or, l(l - 4) - 18(l - 4) = 0

or, (l - 4)(l - 18) = 0

or, l = 4 or l = 18

Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.

Answer:

B) 4 inches and 18 inches.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Please help me out

Fill in the blanks for this graph

1. This graph crosses the y-axis at______

2. The graph increases in the interval_____

3. The graph decreases in the interval____

Answers

Answer:

1 -5

don't know the answer of q2 and q3

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