Question

How do you simplify without negative exponents `(t^6)^-4`?

Answer 1

`(t^6)^-4 = color(green)(1/t^24`

Explanation:

There are two properties of exponents we can use here:

First `color(blue)((a^m)^n = a^(m*n)`

Hence `(t^6)^-4 = t^(6*-4) = t^-24`

And second `color(blue)(a^-m = 1/a^m`

Hence `t^-24 = color(green)(1/t^24`

That gets us the answer without negative exponents!