簡約 \sqrt[4]{32x^8y^9z^{19}}

解

簡約

4 32 x^{8} y^{9} z^{19}

242 x^{2} y^{2} z^{4} 4 y 4 z^{3}

解答ステップ

4 32 x^{8} y^{9} z^{19}

4 32 x^{8} y^{9} z^{19} = 432 4 x^{8} 4 y^{9} 4 z^{19}

= 432 4 x^{8} 4 y^{9} 4 z^{19}

簡素化

4 x^{8} : x^{2}

= 432 x^{2} 4 y^{9} 4 z^{19}

簡素化

4 y^{9} : y^{2} 4 y

= 432 x^{2} y^{2} 4 y 4 z^{19}

簡素化

4 z^{19} : z^{4} 4 z^{3}

= 432 x^{2} y^{2} 4 y z^{4} 4 z^{3}

432 = 242

= 242 x^{2} y^{2} 4 y z^{4} 4 z^{3}

= 242 x^{2} y^{2} z^{4} 4 y 4 z^{3}