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Popular >

simplify 5^2*5^{-3}

Solution

simplify

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

Solution

\frac{1}{5}

+1

Decimal Notation

0.2

Solution steps

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

Apply exponent rule:

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

5^{2} \cdot 5^{- 3} = 5^{2 - 3}

= 5^{2 - 3}

Subtract the numbers:

2 - 3 = - 1

= 5^{- 1}

Apply exponent rule:

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

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

= \frac{1}{5}

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Frequently Asked Questions (FAQ)

What is 5^2*5^{-3} ?
The solution to 5^2*5^{-3} is 1/5