## Algebra 1

a) $a^n \cdot a^{-n} = 1$ b) $a^n$ and $a^{-n}$ are reciprocals
a) $a^n \cdot a^{-n} = a^{n+(-n)} = a^0 = 1$ b) We know that $a^n \cdot a^{-n} = 1$. Because of this, we find that $a^n$ and $a^{-n}$ are reciprocals.