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受欢迎的代数 >

化简 (8x^{-6})^{1/3}

解答

化简

(8 x^{- 6})^{\frac{1}{3}}

解答

\frac{2}{x ^{2}}

求解步骤

(8 x^{- 6})^{\frac{1}{3}}

使用指数法则:

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

(8 x^{- 6})^{\frac{1}{3}} = 8^{\frac{1}{3}} (x^{- 6})^{\frac{1}{3}}

= 8^{\frac{1}{3}} (x^{- 6})^{\frac{1}{3}}

8^{\frac{1}{3}} = 2

= 2 (x^{- 6})^{\frac{1}{3}}

使用指数法则:

(a^{b})^{c} = a^{b c},

假定

a \geq 0

(x^{- 6})^{\frac{1}{3}} = x^{- 6 \cdot \frac{1}{3}}

= 2 x^{- 6 \cdot \frac{1}{3}}

- 6 \cdot \frac{1}{3} = - 2

= 2 x^{- 2}

使用指数法则:

a^{- b} = \frac{1}{a ^{b}}

x^{- 2} = \frac{1}{x ^{2}}

= 2 \cdot \frac{1}{x ^{2}}

化简

2 \cdot \frac{1}{x ^{2}} : \frac{2}{x ^{2}}

= \frac{2}{x ^{2}}

流行的例子

3 - \frac{1}{4} y = 2

p^{2} = 2 p

18 t - 1.86 t^{2} = 0

- x^{2} - 4 x = 0

3(x-3)<5x-4+3(7-x)

3 (x - 3) < 5 x - 4 + 3 (7 - x)