Question 93979
1. (32x^1/2)^2/5
:
{{{(32*x^(1/2))^(2/5)}}}
:
Following the rules of exponents:
{{{32^(2/5)*x^((1/2)*(2/5))}}} = {{{32^(2/5)*x^(2/10)}}} = {{{32^(2/5)*x^(1/5)}}}
:
We know the 5th root of 32 = 2, and 2^2 = 4 so we have:
{{{4*x^(1/5)}}}