Question

Simplifique: ( 2^(n+4) - 2.2^n ) / 2^(n+1).

Answer 1

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Solução!

$\dfrac{2^{(n+4)}-2.2^{n}}{2^{(n+1)} }\\\\\\ \dfrac{2^{n}.2^{4} -2.2^{n}}{2^{n}+2^{1} }\\\\\\ \dfrac{2^{n}(2^{4} -2)}{2^{n}.(2^{1}) }\\\\\\ \dfrac{(2^{4} -2)}{(2^{1}) }\\\\\\ \dfrac{(16 -2)}{(2) }\\\\\\ \dfrac{(14)}{(2) }=7$

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