x^35w^20 all raise to the 5th root

Question

1. 5√x^35w^20.  where x and w may be negative.

Answer 1

 

 

⁵√( X³⁵ w²⁰ ) = ⁵ √((X ⁷)⁵ * (W⁴ )⁵ ) = X⁷ W⁴

Answer 2

When we have (x^n)^m we get x^(mn).  So right now we have (x^35w^20)^(1/5).  the 1/5 would be multiplied by the 35 and also by the 20 to get x^(35 times 1/5) w^(20 times 1/5) which reduces into x^7w^4.

 

X to the seventh times W to the fourth.