Question

Estou com um trabalho de matemática, não estou entendendo isto:

(1 : 9 - 10 * 2 )³ * √81
4 32 9 5 256

Answer 1

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$( \frac{1}{4} \div \frac{9}{32} - \frac{10}{9} \times \frac{2}{5} )^3\times \sqrt{ \frac{81}{256} } = \\ \\ ( \frac{1}{4} \times \frac{32}{9} - \frac{\not10^2}{9} \times \frac{2}{\not5} )^3\times \sqrt{ \frac{3^4}{2^8} } = \\ \\ ( \frac{1}{\not4} \times \frac{\not32^8}{9} - \frac{4}{9} )^3\times \frac{3^2}{2^4} = \\ \\ ( \frac{8}{9} - \frac{4}{9} )^3\times \frac{9}{16} = \\ \\ ( \frac{4}{9} )^3\times \frac{9}{16} = \\ \\ \frac{\not64^4}{\not243^{27}} \times \frac{\not9}{\not16} =$

$\fbox{ \frac{4}{27} }$