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Popular >

simplify 5^7*5^{-4}

Solution

simplify

5^{7} \cdot 5^{- 4}

Solution

125

Solution steps

5^{7} \cdot 5^{- 4}

Apply exponent rule:

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

5^{7} \cdot 5^{- 4} = 5^{7 - 4}

= 5^{7 - 4}

Subtract the numbers:

7 - 4 = 3

= 5^{3}

5^{3} = 125

= 125

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Frequently Asked Questions (FAQ)

What is 5^7*5^{-4} ?
The solution to 5^7*5^{-4} is 125