Question

Simplify the expression below.

Use the up-carrot (^) for the exponent.
r6
_
r2

Answer 1

`~\hspace{7em}\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^(-m)\implies a^(n-m) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{r^6}{r^2}\implies r^6\cdot r^(-2)\implies r^(6-2)\implies r^4`