簡約 \sqrt[3]{24x^7y^6z^{11}}

解

簡約

3 24 x^{7} y^{6} z^{11}

233 x^{2} y^{2} z^{3} 3 x 3 z^{2}

解答ステップ

3 24 x^{7} y^{6} z^{11}

3 24 x^{7} y^{6} z^{11} = 324 3 x^{7} 3 y^{6} 3 z^{11}

= 324 3 x^{7} 3 y^{6} 3 z^{11}

簡素化

3 x^{7} : x^{2} 3 x

= 324 x^{2} 3 x 3 y^{6} 3 z^{11}

簡素化

3 y^{6} : y^{2}

= 324 x^{2} 3 x y^{2} 3 z^{11}

簡素化

3 z^{11} : z^{3} 3 z^{2}

= 324 x^{2} 3 x y^{2} z^{3} 3 z^{2}

324 = 233

= 233 x^{2} 3 x y^{2} z^{3} 3 z^{2}

= 233 x^{2} y^{2} z^{3} 3 x 3 z^{2}