Question

eu to com muita duvida nisso sei a resposta mas nao entendo como faz o calculo

Answer 1

Resposta:

Explicação passo a passo:

$(\frac{9}{10}) ^{7} .(\frac{4}{3}) ^{7}.(\frac{4}{3}) ^{2} .(\frac{3}{5}) ^{6} .(\frac{5}{6}) ^{6} .(\frac{5}{6}) ^{5} =$

$(\frac{9}{10}.\frac{4}{3}) ^{7} .(\frac{4}{3}) ^{2} .(\frac{3}{5}.\frac{5}{6}) ^{6} .(\frac{5}{6}) ^{5} =$

$(\frac{36}{30}) ^{7} .(\frac{4}{3}) ^{2} .(\frac{15}{30}) ^{6} .(\frac{5}{6}) ^{5}=$

$(\frac{6}{5}) ^{7} .(\frac{4}{3}) ^{2} .(\frac{1}{2}) ^{6} .(\frac{5}{6}) ^{5} =$

$(\frac{6}{5}) ^{7} .(\frac{5}{6}) ^{5} .(\frac{4}{3}) ^{2} .(\frac{1}{2}) ^{6} =$

$(\frac{5}{6}) ^{-7} .(\frac{5}{6}) ^{5} .(\frac{4}{3}) ^{2} .[(\frac{1}{2}) ^{3}] ^{2} =$

$(\frac{5}{6}) ^{-2} .(\frac{4}{3}) ^{2}.(\frac{1}{8}) ^{2} =$

$(\frac{6}{5}) ^{2} .(\frac{4}{3}) ^{2}.(\frac{1}{8}) ^{2} =$

$(\frac{6}{5}.\frac{4}{3} .\frac{1}{8}) ^{2} =$

$(\frac{24}{120}) ^{2} =$

$(\frac{1}{5}) ^{2} =$

 $\frac{1}{25}$

$Resposta:(c)$