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  • Usuário do Brainly
2014-05-22T15:37:37-03:00
\frac{(1024)^7*(64)^{-3}}{(0,5)^{-10}*(0,25)^{-4}}

escrevendo de outra forma

\frac{(1024)^7*(64)^{-3}}{\left(\frac{1}{2}\right)^{-10}*\left(\frac{1}{4}\right)^{-4}}

\frac{(1024)^7*(64)^{-3}}{\left(2\right)^{10}*\left(4\right)^{4}}

\frac{(1024)^7*(64)^{-3}}{\left(2\right)^{10}*\left(2^2\right)^{4}}

\frac{(1024)^7*(64)^{-3}}{\left(2\right)^{10}*\left(2\right)^{8}}

\frac{(2^{10})^7*(64)^{-3}}{\left(2\right)^{18}}

\frac{2^{70}*(2^6)^{-3}}{\left(2\right)^{18}}

\frac{2^{70}*2^{-18}}{\left(2\right)^{18}}

2^{70}*2^{-18}*2^{-18}

2^{70}*2^{-36}

\boxed{\boxed{2^{34}}}
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