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Popular >

simplify 5^{-3}*5

Solution

simplify

5^{- 3} \cdot 5

Solution

\frac{1}{25}

+1

Decimal Notation

0.04

Solution steps

5^{- 3} \cdot 5

Apply exponent rule:

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

5^{- 3} \cdot 5 = 5^{- 3 + 1}

= 5^{- 3 + 1}

Add/Subtract the numbers:

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