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受欢迎的代数 >

化简 (343a^{12}b^{-3})^{2/3}

解答

化简

(343 a^{12} b^{- 3})^{\frac{2}{3}}

解答

\frac{49 a ^{8}}{b ^{2}}

求解步骤

(343 a^{12} b^{- 3})^{\frac{2}{3}}

使用指数法则:

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

(343 a^{12} b^{- 3})^{\frac{2}{3}} = 34 3^{\frac{2}{3}} (a^{12})^{\frac{2}{3}} (b^{- 3})^{\frac{2}{3}}

= 34 3^{\frac{2}{3}} (a^{12})^{\frac{2}{3}} (b^{- 3})^{\frac{2}{3}}

34 3^{\frac{2}{3}} = 49

= 49 (a^{12})^{\frac{2}{3}} (b^{- 3})^{\frac{2}{3}}

化简

(a^{12})^{\frac{2}{3}} : a^{8}

= 49 a^{8} (b^{- 3})^{\frac{2}{3}}

化简

(b^{- 3})^{\frac{2}{3}} : \frac{1}{b ^{2}}

= 49 a^{8} \frac{1}{b ^{2}}

化简

49 a^{8} \frac{1}{b ^{2}} : \frac{49 a ^{8}}{b ^{2}}

= \frac{49 a ^{8}}{b ^{2}}

流行的例子

化简 sqrt(2100)

s im pl i f y 2100

z/(1.25)+18.48<= 12

\frac{z}{1.25} + 18.48 \leq 12

因式分解-2x^2+32

f a c t or - 2 x^{2} + 32

s im pl i f y \frac{5}{2} \cdot 4

(4-5x)(4x-5)=(10x-3)(7-2x)

(4 - 5 x) (4 x - 5) = (10 x - 3) (7 - 2 x)