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受欢迎的代数 >

化简 24^{(-2)/3}

解答

化简

2 4^{\frac{- 2}{3}}

解答

\frac{1}{4 \cdot 3 ^{\frac{2}{3}}}

+1

十进制

0.12018 \dots

求解步骤

2 4^{\frac{- 2}{3}}

24

质因数分解:

2^{3} \cdot 3

= (2^{3} \cdot 3)^{\frac{- 2}{3}}

使用指数法则:

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

(2^{3} \cdot 3)^{\frac{- 2}{3}} = (2^{3})^{\frac{- 2}{3}} \cdot 3^{\frac{- 2}{3}}

= (2^{3})^{\frac{- 2}{3}} \cdot 3^{\frac{- 2}{3}}

(2^{3})^{\frac{- 2}{3}} = \frac{1}{4}

= \frac{1}{4} \cdot 3^{\frac{- 2}{3}}

使用分式法则:

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

\frac{- 2}{3} = - \frac{2}{3}

= \frac{1}{4} \cdot 3^{- \frac{2}{3}}

使用指数法则:

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

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

= \frac{1}{4} \cdot \frac{1}{3 ^{\frac{2}{3}}}

\frac{1}{4} \cdot \frac{1}{3 ^{\frac{2}{3}}} = \frac{1}{4 \cdot 3 ^{\frac{2}{3}}}

= \frac{1}{4 \cdot 3 ^{\frac{2}{3}}}

流行的例子

∣ a - 5 ∣ = 5 - a

(x^2)/2-(3x)/(20)= 1/5

\frac{x ^{2}}{2} - \frac{3 x}{20} = \frac{1}{5}

∣ 5 x + 1 ∣ = ∣ 8 x + 4 ∣

因式分解 3x^2-12x-9

f a c t or 3 x^{2} - 12 x - 9

∣ x - 4 ∣ < 1