Question

7) Simplifique as expressões:

a)
$\frac{ {4}^{2}.8^{3} }{ {2}^{10} }$
b)
$\frac{ {9}^{3} . {27}^{2} }{81}$
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Answer 1

Resposta:

Explicação passo a passo:

a)

$\frac{(2^{2}) ^{2}.(2^{3}) ^{3} }{2^{10} } =\frac{2^{4} .2^{9} }{2^{10} } =\frac{2^{13} }{2^{10} } =2^{(13-10)} =2^{3}$

b)

$\frac{(3^{2}) ^{3}.(3^{3})^{2} }{3^{4} } =\frac{3^{6}.3^{6} }{3^{4} } =\frac{3^{12}}{3^{4} }=3^{8}$