簡約 \sqrt[3]{-625m^{28}n^{12}}

解

簡約

3 - 625 m^{28} n^{12}

- 535 m^{9} n^{4} 3 m

解答ステップ

3 - 625 m^{28} n^{12}

3 - 625 m^{28} n^{12} = 3625 3 m^{28} 3 - n^{12}

= 3625 3 m^{28} 3 - n^{12}

簡素化

3 m^{28} : m^{9} 3 m

= 3625 m^{9} 3 m 3 - n^{12}

簡素化

3 - n^{12} : - n^{4}

= 3625 m^{9} 3 m (- n^{4})

括弧を削除する:

3625 m^{9} 3 m (- n^{4}) = - 3625 m^{9} 3 m n^{4}

= - 3625 m^{9} 3 m n^{4}

= - 3625 m^{9} n^{4} 3 m

3625 = 535

= - 535 m^{9} n^{4} 3 m