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Popular >

simplify 5^3*5^{-7}

Solution

simplify

5^{3} \cdot 5^{- 7}

Solution

\frac{1}{625}

+1

Solution steps

5^{3} \cdot 5^{- 7}

Apply exponent rule:

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

5^{3} \cdot 5^{- 7} = 5^{3 - 7}

= 5^{3 - 7}

Subtract the numbers:

3 - 7 = - 4

= 5^{- 4}

Apply exponent rule:

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

5^{- 4} = \frac{1}{5 ^{4}}

= \frac{1}{5 ^{4}}

5^{4} = 625

= \frac{1}{625}

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Frequently Asked Questions (FAQ)

What is 5^3*5^{-7} ?
The solution to 5^3*5^{-7} is 1/625