Mathematics, 16.07.2019 02:10 shazanah95
Explain how the quotient of powers was used to simplify this expression. 5^4/25=5^2
Answers: 2
![\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{5^4}{25}\implies \cfrac{5^4}{5^2}\implies \cfrac{5^4}{1}\cdot \cfrac{1}{5^2}\implies 5^4\cdot 5^{-2}\implies 5^{4-2}\implies 5^2](/tpl/images/0094/6682/3df47.png)
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Explain how the quotient of powers was used to simplify this expression. 5^4/25=5^2...
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