What is (5^{-2})/(5^{-10)\times 5^{-5}} ?

The solution to (5^{-2})/(5^{-10)\times 5^{-5}} is 5^{13}

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simplify (5^{-2})/(5^{-10)\times 5^{-5}}

simplify

\frac{5 ^{- 2}}{5 ^{- 10} \cdot 5 ^{- 5}}

5^{13}

Decimal Notation

1220703125

Solution steps

\frac{5 ^{- 2}}{5 ^{- 10} \cdot 5 ^{- 5}}

\frac{5 ^{- 2}}{5 ^{- 10}} = 5^{8}

= \frac{5 ^{8}}{5 ^{- 5}}

Apply exponent rule:

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

= 5^{8 - (- 5)}

8 - (- 5) = 13

= 5^{13}

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What is (5^{-2})/(5^{-10)\times 5^{-5}} ?
The solution to (5^{-2})/(5^{-10)\times 5^{-5}} is 5^{13}