化简 (16/81)^{(-3)/4}

解答

化简

(\frac{16}{81})^{\frac{- 3}{4}}

\frac{27}{8}

十进制

3.375

求解步骤

(\frac{16}{81})^{\frac{- 3}{4}}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 6 ^{\frac{- 3}{4}}}{8 1 ^{\frac{- 3}{4}}}

1 6^{\frac{- 3}{4}} = \frac{1}{8}

= \frac{\frac{1}{8}}{8 1 ^{\frac{- 3}{4}}}

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

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

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

= \frac{27}{8}

s im pl i f y (- 6 x - 3) + (3 x - 9)

s im pl i f y - 6 (7 + x)

s im pl i f y (5 x y)^{2} (2 x^{2} y)

5 \frac{3}{4} \div \frac{4}{5}

s im pl i f y \frac{18}{44}