Question

How do you simplify and write `(4w^-6x^2)^2` with positive exponents?

Answer 1

First of all, let's remove that big squared symbol around the whole equation. Note: You will need to know two things, `(ab)^n=a^n*b^n`, and `(a^m)^n=a^(mn)`

`(4*w^-6*x^2)^2 = 4^2*w^(-6*2)*x^(2*2)`
`= 16*w^(-12)*x^(4)`

But the question asks for all exponents (those smaller, higher numbers) to be positive. For this we need another piece of knowledge: `a^-n = 1/a^n`

`=(16*w^4)/x^12`