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Popular >

simplify 5^4\times 5^{-2}

Solution

simplify

5^{4} \cdot 5^{- 2}

Solution

25

Solution steps

5^{4} \cdot 5^{- 2}

Apply exponent rule:

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

5^{4} \cdot 5^{- 2} = 5^{4 - 2}

= 5^{4 - 2}

Subtract the numbers:

4 - 2 = 2

= 5^{2}

5^{2} = 25

= 25

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Frequently Asked Questions (FAQ)

What is 5^4\times 5^{-2} ?
The solution to 5^4\times 5^{-2} is 25