簡約 (-18m^2n)^2(-1/6 mn^2)

解

簡約

(- 18 m^{2} n)^{2} (- \frac{1}{6} m n^{2})

- 54 m^{5} n^{4}

解答ステップ

(- 18 m^{2} n)^{2} (- \frac{1}{6} m n^{2})

規則を適用する:

a (- b) = - ab

(- 18 m^{2} n)^{2} (- \frac{1}{6} m n^{2}) = - (- 18 m^{2} n)^{2} \frac{1}{6} m n^{2}

= - (- 18 m^{2} n)^{2} \frac{1}{6} m n^{2}

= - \frac{1}{6} m (- 18 m^{2} n)^{2} n^{2}

簡素化

(- 18 m^{2} n)^{2} : 324 m^{4} n^{2}

= - \frac{1}{6} m \cdot 324 m^{4} n^{2} n^{2}

簡素化

m m^{4} : m^{5}

= - \frac{1}{6} m^{5} \cdot 324 n^{2} n^{2}

簡素化

n^{2} n^{2} : n^{4}

= - \frac{1}{6} m^{5} \cdot 324 n^{4}

= - \frac{1}{6} \cdot 324 m^{5} n^{4}

分数の規則を適用する:

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

= - \frac{1 \cdot 324 m ^{5} n ^{4}}{6}

数を乗じる:

1 \cdot 324 = 324

= - \frac{324 m ^{5} n ^{4}}{6}

数を割る:

\frac{324}{6} = 54

= - 54 m^{5} n^{4}