Question

How to solve this (20)^3/2.

Answer 1

In the case of a fractional exponent, the numerator is treated as usual, the number is raised to that power.
Then, the denominator is taken as the radical.

In this case,
First, you take 20 to the third power (numerator = 3), 8000
Then, you take the square root (denominator = 2) of 8000

= √8000
= 10√80
= 20√20
= 40√5

Answer 2

x^(3/2) = x^(1 + 1/2) = x * x^(1/2) = x√x
so,
20^(3/2) = 20√20 = 40√5

Answer 3

Thank you very much to you both.