Mathematics High School

Simplify: [3(2a)3/2]^2

Simplify: [3(2a)3/2]^2

Answers

Answer 1

Answer:

24a³

Step-by-step explanation:

Simplify, then,  2.1  2³ divided by 2¹= 2 (³_¹)= 2²

( 3 . 4³ .2.   =24a³.

Answer 2

Simplification of an expression is making it as simple as possible. The simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]

What are some basic properties of exponentiation?

If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}\\\\^n\sqrt{a} = a^{1/n}\\(ab)^c = a^c \times b^c[/tex]

For the given case, the expression is simplified by using the given rules as:

[tex][3(2a)^{3/2}]^2 = 3^2 \times (2a)^{\dfrac{3}{2} \times 2} = 9 \times (2a)^3\\[/tex]

[tex][3(2a)^{3/2}]^2 = 9 \times 8 \times a^3 = 72a^3[/tex]

Thus, the simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]

Learn more about exponent here:

https://brainly.com/question/26676307

Related Questions

Write the equation for a line passing through (4, 13) and has a slope of 3

Answers

Answer:

Step-by-step explanation:

y - 13 = 3(x - 4)

y - 13 = 3x - 12

y = 3x + 1

given the function f(x)=x^2+9 find f(x-2)

Answers

Answer:

x^2 -4x+13

Step-by-step explanation:

f(x)=x^2+9

Replace x with x-2

f(x-2)=(x-2)^2+9

FOIL

f(x-2)=x^2 -2x-2x +4+9

Combine like terms

       = x^2 -4x+13

help!
i really need this

Answers

Answer:

9.6 or 48/5

Step-by-step explanation:

I divided 12 by 5, then multiplied the result by 4.

If x is 5, then 6x=

A.) 30x

B.) 5x

C.) 30

Answers

Solution:

6x when x = 5

~Substitute

6(5)

~Multiply

30

Best of Luck!


How many times larger is the area of Rectangle 2 than the area of Rectangle 1?
Write the answer in Scientific Notation and in Standard Form.

Answers

Answer:

I would need to see the rectangles and there areas to answer that sorry

what would be the solution to w(-4+z)=mz+17

Answers

Solution: Answer:
m= wz - 4w -17 divided by z

Work: Step 1: Flip the equation.
mz + 17 = wz - 4w

Step 2: Add -17 to both sides.

Step 3: Divide both sides by z.

f(x) = (x - 3)(x + 4)

Answers

Answer:

f(x)= x^2+x-12

Step-by-step explanation:

FOIL

First= (x)(x)=x^2

Outer=(x)(4)=4x

Inner=(-3)(x)=-3x

Last=(-3)(4)=-12

x^2+4x-3x-12

x^2+x-12

0.05 written in scientific notation

Answers

Answer:

5 x 10^2

Step-by-step explanation:

chloe is 5 feet 4 inches tall. There are 2.54 centimeters in 1 inch. What is chloes heigh in centimeters

Answers

Answer: 162.56 cm

Step-by-step explanation:

5 feet 4 is 64 inches

2.54 • 64 = 162.56

Chloe is 162.56 cm tall

Answer:

162.56

Step-by-step explanation:

multiply 2.54 by 64

Given that M is the midpoint of L and P. If LP=4x-1, LM=8, find x and LP

Answers

Answer:

LP = 16 units (8 + 8)

x = 4.25 units

Step-by-step explanation:

PLZ HURRY IT'S URGENT!!

Omar must put 50 feet of fencing around his rectangular patio. The length of the patio is one foot longer than three times the width. Determine the width of the patio.


What is the solution set for 2w+2(3w+1)=50 given the replacement set {6, 7, 8, 9} ?



6



7



8



9

Answers

Answer:

the answer is 6

Step-by-step explanation:

just had that question and got it right.

Which expression is a factor of 21x2 + 13x − 20?

Answers

Answer:  3x + 4 and or 7x - 5 whichever one is on your answer choices

Step-by-step explanation: the answer to that expression is (3x + 4)(7x - 5) a factor is either of those in parenthesis.

4. Mrs. Magee's class is collecting books to donate to the local library. The
class goal is to collect 60 books for the youth section, and Mrs. Magee's
student's have donated 15 books already. They plan to donate 3 more
books every week until they reach their goal. Which of the following could
be used to determine w, the number of additional weeks that Mrs. Magee's
class collects books?
A. 15W + 3 = 60
B. 15w - 3 = 60
C. 3w - 15 = 60
D. 3w + 15 = 60

Answers

D)3w+15=60

Because u already have 15 so that’s ur b and ur goal is 60 so that’s ur = and u get 3 books every week or 3w

Any chance for brainliest?

Answer:

A

Step-by-step explanation:

You would think that 15* a number added with 3 is 60. So you would write it as 15W+3=60. Sorry if im wrong.

What’s 3+8x0+5? Please help quickly

Answers

Answer:

3+8x0+5

= 8

Step-by-step explanation:

8 is ur answer....

Evaluate 19+5 times 5 divided by 19-15

Answers

Answer:

19.2

Step-by-step explanation:

Just solve it

1738 ah i’m like hey wassup hello

Helppp pleaseeee help!:(

Answers

Answer:

I found the answer key for you

what is the smallest number by which 84 must be multiplied to make it a perfect square​

Answers

84 can’t be a perfect square

The least common denominator of the fractions: 7/8 and 1/4.

Answers

Answer:

8

Step-by-step explanation:

Since you can divide 4 into 8 evenly, it's the larger of the two - the lowest common denominator is 8.

The least common denominator of the fractions will be 4.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

The least common denominator of the fractions:

7/8 and 1/4

Take 4 common from the denominator of both the fraction numbers 7/8 and 1/4. Then the number will be

7/2 and 1

The least common denominator of the fractions will be 4.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Juan tried 16 free throw attempts playing basketball. He succeeded 9 times what is the experiential probability of not succeeding on his next attempt? write as a fraction

Answers

Answer:

The probability of not succeeding next attempt is 7/16

Step-by-step explanation:

Here in this question, we are asked to write the probability of not succeeding in the next attempt given that he attempted 9 success out of 16 trials.

To calculate this probability of not succeeding, we need to get it from the number of unsuccessful throws.

Thus, if 9 throws are successful out of 16, then the number of unsuccessful throws will be 16-9 = 7

So the probability of not succeeding on next attempt will be 7/16

help me with this step by step

Answers

Answer:

C

Step-by-step explanation:

Elevation of the plane is y.

y =

The airplane starts at an elevation of 8500 feet

y = 8500

It is said that the plane loses elevation at a rate of 150 feet per minute.

y = 8500 - 150

We don't know how many minutes the plane has been losing elevation so we use m

y = 8500 - 150m

PLEASE HELP ME as soon as possible!!

Answers

Answer:

1/3 is answer.

I hope you got it. I had added solved answer too.

plz mark brainliest

Simplify the expression 2/3+1/2(8+3 1/4)

Answers

Answer:

Step-by-step explanation:

2  +  1   ( 8 + 3 * 1/4 )

ـــــــــــــــ

3  +  2

=

2*2  +  1*3  

ـــــــــــــــ

3*2  +  2*3

      1

1  ــــــــــ  

     6

8 + 3 * 1/4

3  *  1

1   *  4

=

3/4

8*4  +  3

1*4   +  4

32  +  3

4    +  4

      3

8  ـــــــــ

     4

1  1/6  * 8  3/4

THE ANSWER

       5

10   ـــــــ

     24

19−4c=17 Solve the equation

Answers

Step-by-step explanation:

19-4c=17

19-17=4c

2=4c

2/4=c

therefore, c=1/2

What is B in the equation

Answers

Answer:

Step-by-step explanation:

I need help with base of the expression the picture is down below

Answers

Answer:

11

Step-by-step explanation:

The number 11 is called the base, while the number 12 is called the exponent .

Answer:

11

Step-by-step explanation:

An exponential has the base at the bottom, or the lower portion. Think of "basement" to help remember this. The exponent is the number up top, so 12 is the exponent.

Solve the equation for the variable.

[tex] - 5v + 9 = - v + 17[/tex]

v = [?]​

Answers

Answer:

v= - 2

Step-by-step explanation:

...............

What is the with of the rectangle is 2 times more than 5 times the length. What are the dimensions of the rectangle if the perimeter is 52

Answers

Answer:

52x5x2 is your answer

Step-by-step explanation:

If RS = 33.6 and QS = 79, find QR.

Answer choices are:
A. 35.4
B. 112.6
C. 33.6
D. 45.4

Answers

the answer is D. 45.4
the answer is D 45.4

2/5 of the fish in Brayden's fish tank are guppies. 3/5 of the guppies are red. What fraction of the fish in Brayden's tank are red guppies?

Answers

Answer:

6/25 of the fish are red guppies.

Step-by-step explanation:

2/5 of the fish in Gary's fish tank are guppies.

Out of 2/5 the  of the fish in Gary's fish tank  3/5 of the guppies are red.

So, The fraction of fish in Gary's tank are red guppies = 3/5 x 2/5

=6/25

Hope this helps!

Subtract. Write your answer as a fraction in simplest form.
-83/8-101/6

Answers

Answer:

Step-by-step explanation:

-653/24

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