簡約 (-0.6m^3n^2)^3

解

簡約

(- 0.6 m^{3} n^{2})^{3}

- 0.216 m^{9} n^{6}

解答ステップ

(- 0.6 m^{3} n^{2})^{3}

指数の規則を適用する:

(- a)^{n} = - a^{n},

(

n

が奇数の場合)

(- 0.6 m^{3} n^{2})^{3} = - (0.6 m^{3} n^{2})^{3}

= - (0.6 m^{3} n^{2})^{3}

指数の規則を適用する:

(a \cdot b)^{n} = a^{n} b^{n}

(0.6 m^{3} n^{2})^{3} = 0. 6^{3} (m^{3})^{3} (n^{2})^{3}

= - 0. 6^{3} (m^{3})^{3} (n^{2})^{3}

0. 6^{3} = 0.216

= - 0.216 (m^{3})^{3} (n^{2})^{3}

簡素化

(m^{3})^{3} : m^{9}

= - 0.216 m^{9} (n^{2})^{3}

簡素化

(n^{2})^{3} : n^{6}

= - 0.216 m^{9} n^{6}