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Popular >

simplify 5^3*5^{-4}

Solution

simplify

5^{3} \cdot 5^{- 4}

Solution

\frac{1}{5}

+1

Solution steps

5^{3} \cdot 5^{- 4}

Apply exponent rule:

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

5^{3} \cdot 5^{- 4} = 5^{3 - 4}

= 5^{3 - 4}

Subtract the numbers:

3 - 4 = - 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 5^3*5^{-4} ?
The solution to 5^3*5^{-4} is 1/5