What is 4^(3 / 2) ? ? ?

Question

I know it is 8 but I think you could put it in root form? or a different form?

Answer 1

4^(3/2)

= ±√(4^3)

= ±√64

= ±√(8 x 8)

= ±8

Answer 2

4^(3/2) = 4^(1/2)^3 = [4^(1/2)]^3

It's easier to see how you get the answer when you separate the exponents.

Now, start at the inner-most parenthesis and work your way out:

4^(1/2) = 2

[2]^3 = 8

You can write the original in root form:

(sqrt4)^3

Answer 3

4 ^3/2

square root of 4=2^3=8

Answer 4

8

Answer 5

Just to be different, let's say that

4^(3/2) = sqrt(4^3)

= sqrt(64)

= 8

Answer 6

If 4 ^  1/2 =  sqrt 4^1  or sqrt 4  (sqrt = square root)

Then  4^ n/3 = sqrt 4^n

Therefore,

4^3/2 = sqrt  4^3 = sqrt 64 = 8

Answer 7

= 4^(3/2) of 3/2, 2 is the square root & 3 is the cube of square root of 4

= (√4)³ Take the square root of 4; it is 2

= 2³ Take the cube of 2 (2 * 2 * 2)

= 8

Answer: 8 is equal to 4^(3/2)

Answer 8

4^(3/2) = (√4)³ = (2)³ = 8.

8 is the best way to present your answer. It is the most simplified one (: