化简 (4/9)^{-3/2}

解答

化简

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

\frac{27}{8}

十进制

3.375

求解步骤

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

使用指数法则:

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

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

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

(\frac{4}{9})^{\frac{3}{2}} = \frac{8}{27}

= \frac{1}{\frac{8}{27}}

使用分式法则:

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

= \frac{27}{8}

\frac{- 2 x ^{2} - 20 x - 50}{x ^{2} + 4} \geq 0

3 (x - 2) 2 - 37 = 20

s im pl i f y (\frac{g ^{3}}{h ^{2}})^{5}

s im pl i f y \frac{11}{7} (- 8)^{\frac{2}{3}}

∣ 12 - 16 x ∣ < - 13