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Popular >

simplify (5^{10})/(5^{12)}

Solution

simplify

\frac{5 ^{10}}{5 ^{12}}

Solution

\frac{1}{25}

+1

Decimal Notation

0.04

Solution steps

\frac{5 ^{10}}{5 ^{12}}

Apply exponent rule:

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

= 5^{10 - 12}

Subtract the numbers:

10 - 12 = - 2

= 5^{- 2}

Apply exponent rule:

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

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

5^{2} = 25

= \frac{1}{25}

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Frequently Asked Questions (FAQ)

What is (5^{10})/(5^{12)} ?
The solution to (5^{10})/(5^{12)} is 1/25