簡約 5^{-1600(625)}(-5)^{-400(625)}

解

簡約

5^{- 1600 (625)} (- 5)^{- 400 (625)}

\frac{1}{5 ^{1250000}}

解答ステップ

5^{- 1600 (625)} (- 5)^{- 400 (625)}

5^{- 1600 (625)} = \frac{1}{5 ^{1000000}}

= \frac{1}{5 ^{1000000}} (- 5)^{- 400 \cdot 625}

(- 5)^{- 400 \cdot 625} = \frac{1}{5 ^{250000}}

= \frac{1}{5 ^{1000000}} \cdot \frac{1}{5 ^{250000}}

\frac{1}{5 ^{1000000}} \cdot \frac{1}{5 ^{250000}} = \frac{1}{5 ^{1250000}}

= \frac{1}{5 ^{1250000}}