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

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

5√( X35 w20 ) = √((X 7)5 * (W4 )5 ) = XW4
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.