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

Oct 25, 2015

(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 ${\left({t}^{6}\right)}^{-} 4 = {t}^{6 \cdot - 4} = {t}^{-} 24$

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!