Question

How do you write `4^(3/2)` in radical form?

Answer 1

`sqrt(4^3)` or `sqrt64` or `8`

Explanation:

`color(green)(27)^ (color(blue)(1)/color(red)(3))` is the same as `color(white)()^color(red)(3)sqrt(27^color(blue)(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

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`color(green)(4)^(color(blue)(3)/color(red)(2))` is the same as `sqrt(color(green)(4)^color(blue)(3))` or

`sqrt(64)`

`sqrt(8*8)`

`cancelsqrt(8^cancel2)`

`8`