[tex]\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{7^2\cdot 8^9}{5\cdot 7^6\cdot 8^3}\implies \cfrac{8^9\cdot 8^{-3}}{5\cdot 7^6\cdot 7^{-2}}\implies \cfrac{8^{9-3}}{5\cdot 7^{6-2}}\implies \cfrac{8^6}{5\cdot 7^4}[/tex]
