Question

Qual o resultado da expressão abaixo? *
ajudem pfvvvvvv

Answer 1

Resposta:

$\frac{ {4}^{5}.16 ^{2}. {8}^{3} }{ {64}^{3} } = \\ \\ = \frac{ ({2}^{2}) {}^{5} . {( {2}^{4}) {}^{2} . ({2}^{3}) {}^{3} } }{( {2}^{6} ) {}^{3} } \\ \\ = \frac{ {2}^{2 \times 5} . {2}^{4 \times 2}. {2}^{ 3\times 3} }{ {2}^{6 \times 3} } \\ \\ = \frac{ {2}^{10}. {2}^{8} . {2}^{9} }{ {2}^{18} } \\ \\ = \frac{ {2}^{10 + 8 + 9} }{ {2}^{18} } \\ \\ = \frac{ {2}^{27} }{ {2}^{18} } \\ \\ = {2}^{27 - 18} \\ \\ = \Large \boxed{ \green{ \bf \: {2}^{9} }} \\ \\ \Large \boxed{ \underline{ \blue{ \bf \: Bons \: Estudos!} \: \bf \: 20/05/2021}}$