簡約 (1/4)^{-5/2}

解

簡約

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

32

解答ステップ

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

指数の規則を適用する:

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