簡約 (3m^{-4})^3(3m^5)

解

簡約

(3 m^{- 4})^{3} (3 m^{5})

\frac{81}{m ^{7}}

解答ステップ

(3 m^{- 4})^{3} (3 m^{5})

簡素化

(3 m^{- 4})^{3} : \frac{27}{m ^{12}}

= \frac{27}{m ^{12}} \cdot 3 m^{5}

分数の規則を適用する:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{27 \cdot 3 m ^{5}}{m ^{12}}

簡素化

\frac{m ^{5}}{m ^{12}} : \frac{1}{m ^{7}}

= \frac{27 \cdot 3}{m ^{7}}

数を乗じる:

27 \cdot 3 = 81

= \frac{81}{m ^{7}}