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## Homework Statement

Let A be an invertible matrix. Show that [itex](A^n)^{-1} = (A^{-1})^n[/itex]

## Homework Equations

## The Attempt at a Solution

I want to begin on the left side of the equality sign; but I am having a little difficulty on expanding it. I started to--[itex](A^n)^{-1} = AAA...A^{-1}[/itex]--but it just didn't appear correct. Could someone help me?