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Popular >

simplify 5^3*5^{-5}

Solution

simplify

5^{3} \cdot 5^{- 5}

Solution

\frac{1}{25}

+1

Decimal Notation

0.04

Solution steps

5^{3} \cdot 5^{- 5}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

5^{3} \cdot 5^{- 5} = 5^{3 - 5}

= 5^{3 - 5}

Subtract the numbers:

3 - 5 = - 2

= 5^{- 2}

Apply exponent rule:

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

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

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

5^{2} = 25

= \frac{1}{25}

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Frequently Asked Questions (FAQ)

What is 5^3*5^{-5} ?
The solution to 5^3*5^{-5} is 1/25