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受欢迎的代数 >

化简 5x^{1/2}*2x^{-5/3}

解答

化简

5 x^{\frac{1}{2}} \cdot 2 x^{- \frac{5}{3}}

解答

\frac{10}{x ^{\frac{7}{6}}}

求解步骤

5 x^{\frac{1}{2}} \cdot 2 x^{- \frac{5}{3}}

数字相乘:

5 \cdot 2 = 10

= 10 x^{\frac{1}{2}} x^{- \frac{5}{3}}

使用指数法则:

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

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

= 10 x^{\frac{1}{2} - \frac{5}{3}}

\frac{1}{2} - \frac{5}{3} = - \frac{7}{6}

= 10 x^{- \frac{7}{6}}

使用指数法则:

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

x^{- \frac{7}{6}} = \frac{1}{x ^{\frac{7}{6}}}

= 10 \cdot \frac{1}{x ^{\frac{7}{6}}}

化简

10 \cdot \frac{1}{x ^{\frac{7}{6}}} : \frac{10}{x ^{\frac{7}{6}}}

= \frac{10}{x ^{\frac{7}{6}}}

流行的例子

m^{2} = 64

8^{2} + 8^{2}

因式分解 10x^2+19x+7

f a c t or 10 x^{2} + 19 x + 7

(9x+3)^2-10(9x+3)-144=0

(9 x + 3)^{2} - 10 (9 x + 3) - 144 = 0

(w + 1)^{2} = 20