Question

How do you simplify the expression `[(z^-2)^2]^3` using the properties?

Answer 1

`1/z^12`

Explanation:

First, `z^-n=1/z^n`

So it becomes `[1/z^(2^2)]^3`

Becuase `1^n=1` and `(a/b)^n=a^n/b^n`

And `(a^b)^c=a^(bc)` Makes the equation

`[1/z^4]^3`

Using the last three again, we get

`1/z^12`