化简 (16x^4y^{12})^{3/4}

解答

化简

(16 x^{4} y^{12})^{\frac{3}{4}}

8 x^{3} y^{9}

求解步骤

(16 x^{4} y^{12})^{\frac{3}{4}}

使用指数法则:

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

(16 x^{4} y^{12})^{\frac{3}{4}} = 1 6^{\frac{3}{4}} (x^{4})^{\frac{3}{4}} (y^{12})^{\frac{3}{4}}

= 1 6^{\frac{3}{4}} (x^{4})^{\frac{3}{4}} (y^{12})^{\frac{3}{4}}

1 6^{\frac{3}{4}} = 8

= 8 (x^{4})^{\frac{3}{4}} (y^{12})^{\frac{3}{4}}

化简

(x^{4})^{\frac{3}{4}} : x^{3}

= 8 x^{3} (y^{12})^{\frac{3}{4}}

化简

(y^{12})^{\frac{3}{4}} : y^{9}

= 8 x^{3} y^{9}

f a c t or x^{4} - 5 x^{2} - 50

s im pl i f y x^{2 - 1}

\frac{33}{10}

s im pl i f y \frac{x}{3 x}

e x p an d (4 x - 2 y)^{2}