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Popular >

simplify (5^{-1})/(5^2)

Solution

simplify

\frac{5 ^{- 1}}{5 ^{2}}

Solution

\frac{1}{125}

+1

Decimal Notation

0.008

Solution steps

\frac{5 ^{- 1}}{5 ^{2}}

Apply exponent rule:

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

= 5^{- 1 - 2}

Subtract the numbers:

- 1 - 2 = - 3

= 5^{- 3}

Apply exponent rule:

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

= \frac{1}{5 ^{3}}

5^{3} = 125

= \frac{1}{125}

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Frequently Asked Questions (FAQ)

What is (5^{-1})/(5^2) ?
The solution to (5^{-1})/(5^2) is 1/125