簡約 \sqrt[4]{625w^9x^6y^{11}}

解

簡約

4 625 w^{9} x^{6} y^{11}

5 w^{2} x y^{2} 4 w 4 x^{2} 4 y^{3}

解答ステップ

4 625 w^{9} x^{6} y^{11}

4 625 w^{9} x^{6} y^{11} = 4625 4 w^{9} 4 x^{6} 4 y^{11}

= 4625 4 w^{9} 4 x^{6} 4 y^{11}

4625 = 5

= 5 4 w^{9} 4 x^{6} 4 y^{11}

簡素化

4 w^{9} : w^{2} 4 w

= 5 w^{2} 4 w 4 x^{6} 4 y^{11}

簡素化

4 x^{6} : x 4 x^{2}

= 5 w^{2} 4 w x 4 x^{2} 4 y^{11}

簡素化

4 y^{11} : y^{2} 4 y^{3}

= 5 w^{2} 4 w x 4 x^{2} y^{2} 4 y^{3}

= 5 w^{2} x y^{2} 4 w 4 x^{2} 4 y^{3}