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Popular >

simplify (5^{-3})/(5^6)

Solution

simplify

\frac{5 ^{- 3}}{5 ^{6}}

Solution

\frac{1}{1953125}

+1

Decimal Notation

0.000000512

Solution steps

\frac{5 ^{- 3}}{5 ^{6}}

Apply exponent rule:

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

= 5^{- 3 - 6}

Subtract the numbers:

- 3 - 6 = - 9

= 5^{- 9}

Apply exponent rule:

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

= \frac{1}{5 ^{9}}

5^{9} = 1953125

= \frac{1}{1953125}

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Frequently Asked Questions (FAQ)

What is (5^{-3})/(5^6) ?
The solution to (5^{-3})/(5^6) is 1/1953125