化简 (16x^4y^5)^{1/4}

解答

化简

(16 x^{4} y^{5})^{\frac{1}{4}}

2 x y^{\frac{5}{4}}

求解步骤

(16 x^{4} y^{5})^{\frac{1}{4}}

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

(16 x^{4} y^{5})^{\frac{1}{4}} = 1 6^{\frac{1}{4}} (x^{4})^{\frac{1}{4}} (y^{5})^{\frac{1}{4}}

= 1 6^{\frac{1}{4}} (x^{4})^{\frac{1}{4}} (y^{5})^{\frac{1}{4}}

1 6^{\frac{1}{4}} = 2

= 2 (x^{4})^{\frac{1}{4}} (y^{5})^{\frac{1}{4}}

化简

(x^{4})^{\frac{1}{4}} : x

= 2 x (y^{5})^{\frac{1}{4}}

化简

(y^{5})^{\frac{1}{4}} : y^{\frac{5}{4}}

= 2 x y^{\frac{5}{4}}

s im pl i f y (- 7 + 3 x) (4 + 3 x)

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s im pl i f y (\frac{7}{5})^{- 1}

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