[tex]\bf \hspace{7em}\textit{negative exponents}
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a^{-n} \implies \cfrac{1}{a^n}
~\hspace{4.5em}
a^n\implies \cfrac{1}{a^{-n}}
~\hspace{4.5em}[/tex]
[tex]\bf \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m}
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\rule{34em}{0.25pt}\\\\
\boxed{1}~\hspace{5em}\cfrac{2^4}{2^1}\implies 2^4\cdot 2^{-1}\implies 2^{4-1}\implies 2^3\implies 8
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\boxed{2}~\hspace{5em}\cfrac{x^3}{x^2}\implies x^3\cdot x^{-2}\implies x^{3-2}\implies x^1\implies x
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\boxed{6}~\hspace{5em}\cfrac{(-3)^6}{(-3)^2}\implies (-3)^6\cdot (-3)^{-2}\implies (-3)^{6-2}\implies (-3)^4
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~\hspace{6em}(-3)(-3)(-3)(-3)\implies 81[/tex]
