Question

С подробным решением, пожалуйста
10⁴*12²/2^6*5³*6⁴ =

Answer 1

$\frac{ {10}^{4} {12}^{2} }{ {2}^{6} {5}^{3} {6}^{4} } = \frac{( {2}^{4} {5}^{4} )( {2}^{2}{6}^{2})}{ {2}^{6} {5}^{3} {6}^{4} } = \\ = \frac{ {2}^{4 + 2} {5}^{4} {6}^{2} }{{2}^{6} {5}^{3} {6}^{4}} = \\ = {2}^{6 - 6} {5}^{4 - 3} {6}^{2 - 4} = \\ = \frac{5}{6 ^{2} } = \frac{5}{36}$