Question

How do you simplify `(w ^ { - 5} ) ^ { 3}` without using negative exponents?

Answer 1

`1/w^15`

Explanation:

We will use two of the laws of powers

`(i)" " (x^m)^n=x^(mn)`

`(ii)" "x^(-m)=1/(x^m)`

`(w^(-5))^3=w^(-5xx3)=w^(-15)`

`=1/w^15`