簡約 \sqrt[3]{-81x^6y^8}

解

簡約

3 - 81 x^{6} y^{8}

- 333 x^{2} y^{2} 3 y^{2}

解答ステップ

3 - 81 x^{6} y^{8}

3 - 81 x^{6} y^{8} = 381 3 x^{6} 3 - y^{8}

= 381 3 x^{6} 3 - y^{8}

簡素化

3 x^{6} : x^{2}

= 381 x^{2} 3 - y^{8}

簡素化

3 - y^{8} : y^{2} 3 - y^{2}

= 381 x^{2} y^{2} 3 - y^{2}

累乗根の規則を適用する:

n - a = - n a,

(

n

が奇数の場合)

3 - y^{2} = - 3 y^{2}

= 381 x^{2} y^{2} (- 3 y^{2})

括弧を削除する:

381 x^{2} y^{2} (- 3 y^{2}) = - 381 x^{2} y^{2} 3 y^{2}

= - 381 x^{2} y^{2} 3 y^{2}

381 = 333

= - 333 x^{2} y^{2} 3 y^{2}