Question

reduza a expressão a uma unica potencia de 2

(1024)elevado 7 vezes (64)elevado -3
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(0,5)elevado -10 vezes (0,25)elevado 4



quero saber passo a passo

Answer 1

$\frac{(1024)^7*(64)^{-3}}{(0,5)^{-10}*(0,25)^{-4}}$

escrevendo de outra forma

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

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

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

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

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

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

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

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

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

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