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Popular >

simplify (5^{-2})/(5^4)

Solution

simplify

\frac{5 ^{- 2}}{5 ^{4}}

Solution

\frac{1}{15625}

+1

Solution steps

\frac{5 ^{- 2}}{5 ^{4}}

Apply exponent rule:

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

= 5^{- 2 - 4}

Subtract the numbers:

- 2 - 4 = - 6

= 5^{- 6}

Apply exponent rule:

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

= \frac{1}{5 ^{6}}

5^{6} = 15625

= \frac{1}{15625}

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Frequently Asked Questions (FAQ)

What is (5^{-2})/(5^4) ?
The solution to (5^{-2})/(5^4) is 1/15625