Question

Simplifica 10^5/10^8​

Answer 1

Respuesta:

Explicación paso a paso:

$\texttt{Simplificar:}\\\\\frac{10^{5}}{10^{8}}$

$\texttt{SOLUCI\'ON}\\\texttt{Recordemos que:}\\\frac{1}{a}=a^{-1}\\\frac{a^{b}}{a^{c}}=(a^{b})(\frac{1}{a^{c}})=(a^{b})(a^{-c})=\\\\=a^{b-c}\\\texttt{Aplicando lo anterior se obtiene:}\\\frac{10^{5}}{10^{8}}=(10^{5})(\frac{1}{10^{8}})=(10^{5})(10^{-8})=\\\\=10^{5-8}=10^{-3}=\frac{1}{10^{3}}$

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