Question

Qual o valor da expressão numérica a seguir? * a) 49 b) 36 c) 94 d) 15 e) 16

Answer 1

Expressão numérica com  frações.

$[(\frac{-1}{7})^4]^2 . (\frac{-1}{7}) ^{-2}:[(\frac{-1}{7})^2]^4 =$

$(\frac{-1}{7})^8 . (\frac{-1}{7}) ^{-2} : (\frac{-1}{7})^8 =$

$(\frac{-1}{7})^6:(\frac{-1}{7})^8 =$

$(\frac{-1}{7}) ^{-2} =$

49

Alternativa A

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Answer 2

Oie, Td Bom?!

■ Resposta: Opção A.

$= \left [ ( - \frac{1}{7} ) {}^{4} \right ] {}^{2} \: . \: ( - \frac{1}{7} ) {}^{ - 2} \div \left [ ( - \frac{1}{7} ) {}^{2} \right ] {}^{4}$

$= \left [ ( - \frac{1}{7} ) {}^{4} \right ] {}^{2} \: . \: ( \frac{1}{7} ) {}^{ - 2} \div \left [ ( - \frac{1}{7} ) {}^{2} \right ] {}^{4}$

$= \left [ ( - \frac{1}{7}) {}^{4} \right ] {}^{2} \: . \: 7 {}^{2} \div \left [( - \frac{1}{7} ) {}^{2} \right ] {}^{4}$

$= \frac{\left [( - \frac{1}{7} ) {}^{4} \right ] {}^{2} \: . \: 7 {}^{2} }{\left [ ( - \frac{1}{7}) {}^{2} \right ] {}^{4} }$

$= \frac{\left [ ( - \frac{1}{7} ) {}^{4} \: . \: 7 \right ] {}^{2} }{\left [( - \frac{1}{7} ) {}^{2} \right ] {}^{4} }$

$= \frac{\left [ ( \frac{1}{7} ) {}^{4} \: . \: 7 \right ] {}^{2} }{\left [ ( - \frac{1}{7}) {}^{2} \right ] {}^{4} }$

$= \frac{\left [ \frac{1}{2401} \: . \: 7\right ] {}^{2} }{\left [ ( - \frac{1}{7}) {}^{2} \right ] {}^{4} }$

$= \frac{\left [ \frac{1}{343} \right ] {}^{2} }{\left [ ( - \frac{1}{7} ) {}^{2} \right ] {}^{4} }$

$= \frac{ \frac{1}{343 {}^{2} } }{\left [ ( - \frac{1}{7} ) {}^{2} \right ] {}^{4} }$

$= \frac{1}{343 {}^{2} \: . \: \left [ ( - \frac{1}{7}) {}^{2} \right ] {}^{4} }$

$= \frac{1}{7 {}^{6} \: . \: \left [ \frac{1}{49} \right ] {}^{4} }$

$= \frac{1}{7 {}^{6} \: . \: 7 {}^{ - 8} }$

$= \frac{1}{7 {}^{ - 2} }$

$= 7 {}^{2} ⇒7 \: . \: 7= 49$

Att. Makaveli1996