簡約 (5(7^6))/(7^{10)(5^5)}

解

簡約

\frac{5 ( 7 ^{6} )}{7 ^{10} ( 5 ^{5} )}

\frac{1}{1500625}

十進法表記

6.66389 E - 7

解答ステップ

\frac{5 ( 7 ^{6} )}{7 ^{10} ( 5 ^{5} )}

\frac{5 ( 7 ^{6} )}{7 ^{10} ( 5 ^{5} )} = \frac{5 \cdot 7 ^{6}}{7 ^{10} \cdot 5 ^{5}}

= \frac{5 \cdot 7 ^{6}}{7 ^{10} \cdot 5 ^{5}}

\frac{5}{5 ^{5}} = \frac{1}{5 ^{4}}

= \frac{7 ^{6}}{7 ^{10} \cdot 5 ^{4}}

\frac{7 ^{6}}{7 ^{10}} = \frac{1}{7 ^{4}}

= \frac{1}{7 ^{4} \cdot 5 ^{4}}

7^{4} \cdot 5^{4} = 1500625

= \frac{1}{1500625}