What is 5^{-1600(625)}(-5)^{-400(625)} ?

The solution to 5^{-1600(625)}(-5)^{-400(625)} is 1/(5^{1250000)}

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

simplify

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

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

Solution steps

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}}

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What is 5^{-1600(625)}(-5)^{-400(625)} ?
The solution to 5^{-1600(625)}(-5)^{-400(625)} is 1/(5^{1250000)}