Question

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

Answer 1

8

Explanation:

`27^(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^{ (3)/(2)}` is the same as
`\sqrt4^3}`

`√(64)`

`\sqrt(8*8)`

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

= 8

Answer 2

8

Explanation:

radical form conversion uses the equation:
`\alpha ^(z)/(n) = `^n√(a^x)`

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

`√(4^3)`

simplified, your answer is 8

hope this helps:)