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受欢迎的代数 >

化简 (2/3)^{-2}*(3/2)^{-3}

解答

化简

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

解答

\frac{2}{3}

+1

十进制

0.66666 \dots

求解步骤

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

(\frac{2}{3})^{- 2} = \frac{9}{4}

= \frac{9}{4} (\frac{3}{2})^{- 3}

使用指数法则:

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

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

= \frac{9}{4} \cdot \frac{1}{( \frac{3}{2} ) ^{3}}

(\frac{3}{2})^{3} = \frac{27}{8}

= \frac{9}{4} \cdot \frac{1}{\frac{27}{8}}

使用分式法则:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{9}{4} \cdot \frac{8}{27}

\frac{9}{4} \cdot \frac{8}{27} = \frac{2}{3}

= \frac{2}{3}

流行的例子

x^{2} - 4 x - 14 = 0

x=(4(-7))/((-7)-3)

x = \frac{4 ( - 7 )}{( - 7 ) - 3}

1 - \frac{1}{2} x > 1

x - 1 \geq 0

x^{2} - 20 x + 99 > 0