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Popular >

simplify (5^{-2})/(5^3)

Solution

simplify

\frac{5 ^{- 2}}{5 ^{3}}

Solution

\frac{1}{3125}

+1

Decimal Notation

0.00032

Solution steps

\frac{5 ^{- 2}}{5 ^{3}}

Apply exponent rule:

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

= 5^{- 2 - 3}

Subtract the numbers:

- 2 - 3 = - 5

= 5^{- 5}

Apply exponent rule:

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

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

5^{5} = 3125

= \frac{1}{3125}

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Frequently Asked Questions (FAQ)

What is (5^{-2})/(5^3) ?
The solution to (5^{-2})/(5^3) is 1/3125