化简 (-8/27)^{-4/3}

解答

化简

(- \frac{8}{27})^{- \frac{4}{3}}

\frac{81}{16}

十进制

5.0625

求解步骤

(- \frac{8}{27})^{- \frac{4}{3}}

使用指数法则:

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

(- \frac{8}{27})^{- \frac{4}{3}} = \frac{1}{( - \frac{8}{27} ) ^{\frac{4}{3}}}

= \frac{1}{( - \frac{8}{27} ) ^{\frac{4}{3}}}

(- \frac{8}{27})^{\frac{4}{3}} = (\frac{8}{27})^{\frac{4}{3}}

= \frac{1}{( \frac{8}{27} ) ^{\frac{4}{3}}}

(\frac{8}{27})^{\frac{4}{3}} = \frac{16}{81}

= \frac{1}{\frac{16}{81}}

使用分式法则:

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

= \frac{81}{16}

f a c t or 8 x^{2} - 2 x - 2

x^{2} + 7 x + 14 = 0

s im pl i f y \frac{2 + 3 i}{4 - 3 i}

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