Question

A ^-4 / a ^-6 please simplify and show your work if possible <:D

Answer 1

`\bf ~\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] \rule{34em}{0.25pt}\\\\ \cfrac{a^(-4)}{a^(-6)}\implies a^(-4)\cdot a^6\implies a^(-4+6)\implies a^2`