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受欢迎的代数 >

化简 (a^6b^{24})^{1/6}

解答

化简

(a^{6} b^{24})^{\frac{1}{6}}

解答

a b^{4}

求解步骤

(a^{6} b^{24})^{\frac{1}{6}}

使用指数法则:

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

(a^{6} b^{24})^{\frac{1}{6}} = (a^{6})^{\frac{1}{6}} (b^{24})^{\frac{1}{6}}

= (a^{6})^{\frac{1}{6}} (b^{24})^{\frac{1}{6}}

化简

(a^{6})^{\frac{1}{6}} : a

= a (b^{24})^{\frac{1}{6}}

化简

(b^{24})^{\frac{1}{6}} : b^{4}

= a b^{4}

流行的例子

- 12 = - 32 + 4 x

化简 (1.0101^{(365)/(40.415)}-1)*100

s im pl i f y (1.010 1^{\frac{365}{40.415}} - 1) \cdot 100

t^{2} - 6 t = - 5

化简 (1/25)^{3/2}

s im pl i f y (\frac{1}{25})^{\frac{3}{2}}

- x^{2} - 2 x + 3 \geq 0