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受欢迎的代数 >

化简 \sqrt[5]{4x^2}*\sqrt[5]{4x^2}

解答

化简

5 4 x^{2} \cdot 5 4 x^{2}

解答

5 4^{2} 5 x^{4}

求解步骤

5 4 x^{2} 5 4 x^{2}

使用根式运算法则:

n a = a^{\frac{1}{n}}

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

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

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

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

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

\frac{1}{5} + \frac{1}{5} = \frac{2}{5}

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

使用指数法则:

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

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

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

化简

(x^{2})^{\frac{2}{5}} : x^{\frac{4}{5}}

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

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

= 5 4^{2} 5 x^{4}

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

= 5 4^{2} 5 x^{4}

流行的例子

- 2 x - 4 < 3 x + 21

化简-31/2 (1/(1000^2))+31/2

s im pl i f y - \frac{31}{2} (\frac{1}{100 0 ^{2}}) + \frac{31}{2}

化简 log_{1/4}(3)

s im pl i f y lo g_{\frac{1}{4}} (3)

6 x (x - 1) = 6 - 11 x

∣ 5 x - 1 ∣ \leq 4