Question

Qual o valor de A ÷ B

Answer 1

O valor de A ÷ B é - 2.

Calculando o valor de A e B separadamente.

Valor de A:

$A = ( - \frac{3}{4} ) {}^{4} \div ( - \sqrt{ \frac{81}{64} } ) {}^{3} \\ A = ( \frac{3}{4} ) {}^{4} \div ( - \frac{9}{8} ) {}^{3} \\ A = ( \frac{3}{4} ) {}^{4} \div ( - ( \frac{9}{8} ) {}^{3} ) \\ A = - \frac{81}{256} \div \frac{729}{512} \\ A = - \frac{81}{\backslash\!\!\!\!\!\!256} \: . \: \frac{\backslash\!\!\!\!\!\!512}{729} \\ A = - \backslash\!\!\!\!\!81 \: . \: \frac{2}{\backslash\!\!\!\!\!\!729} \\ \boxed{ A = - \frac{2}{9}}$

Valor de B:

$B= \frac{ \frac{1}{ - 1 \frac{2}{3} } }{ \frac{54}{25} \div ( - 0,4)} \\ B = \frac{ \frac{1}{ - \frac{5}{3} } }{ \frac{54}{25} \div ( - \frac{2}{5} )} \\ B = \frac{ - \frac{1}{ \frac{5}{3} } }{ \frac{54}{25} \: . \: ( - \frac{5}{2} )} \\ B = \frac{ - \frac{ 3}{5} }{ - \frac{\backslash\!\!\!\!54}{25} \: . \: \frac{5}{\backslash\!\!\!2} } \\ B = \frac{ - \frac{3}{5} }{ - \frac{27}{\backslash\!\!\!\!25} \: . \: \backslash\!\!\!5} \\ B = \frac{ - \frac{3 }{\backslash\!\!\!5} }{ - \frac{27}{\backslash\!\!\!5} } \\ B = \frac{\backslash\!\!\!\! \!\!\!\!\!\!- 3}{\backslash\!\!\!\! \!\!\!\! \!\!\!\!- 27} \\ \boxed{ B= \frac{1}{9}}$

Valor de A ÷ B:

$= A \div B \\ = - \frac{2}{9} \div \frac{1}{9} \\ = - \frac{2}{\backslash\!\!\!9} \: . \: \backslash\!\!\!9 \\ \boxed{ = - 2}$

Att. NLE Top Shotta