化简 (1/4)^{-5/2}

解答

化简

(\frac{1}{4})^{- \frac{5}{2}}

32

求解步骤

(\frac{1}{4})^{- \frac{5}{2}}

使用指数法则:

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

(\frac{1}{4})^{- \frac{5}{2}} = \frac{1}{( \frac{1}{4} ) ^{\frac{5}{2}}}

= \frac{1}{( \frac{1}{4} ) ^{\frac{5}{2}}}

(\frac{1}{4})^{\frac{5}{2}} = \frac{1}{32}

= \frac{1}{\frac{1}{32}}

\frac{1}{\frac{1}{32}} = 32

= 32

- 2 (12 x + 2) + 9 = 6 (- 4 x + 1) - 11

2 (x + 4) - 2 = 2 x - 7 - (x - 4)

8 = \frac{1}{4} (x + 16)

2 x - (9 - 3 x) = 8 x - 11

∣ 4 x ∣ = 4