Question

How do you simplify the expression `(4^0w^2)^-5` using the properties?

Answer 1

`1/w^(10)`

Explanation:

Using the `color(blue)"laws of exponents"`

`• a^0=1`

`• (a^m)^n=a^(mn)`

`• a^-mhArr1/a^m`

`rArr(4^0w^2)^-5`

`=(1xxw^2)^-5=(w^2)^-5=w^(-10)=1/w^10`