Question

4^3/2 Rewrite in radical form and then simplify

Answer 1

Answer:

8

Step-by-step explanation:

$27^\frac{1}{3}$ is the same as $\sqrt[3]{27^1}$. To write an exponent in radical form , the denominator, or index goes in front of the radical, and the numerator goes inside of the radical. We raise the base to the power of the numerator.

$4^{ \frac{3}{2}}$ is the same as $\sqrt4^3}$

$\sqrt{64}$

$\sqrt(8*8)$

$\cancel\sqrt(8^\cancel2) (cancel)$

= 8

Answer 2

Answer:

8

Step-by-step explanation:

radical form conversion uses the equation: $\alpha ^\frac{z}{n} = `^n\sqrt{a^x}$

Use the rule to convert 4^3/2 to a radical, where a = 4,  x = 3, and n = 2

$\sqrt{4^3}$

simplified, your answer is 8

hope this helps:)