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Popular >

simplify 3^4*3^{-2}

Solution

simplify

3^{4} \cdot 3^{- 2}

Solution

9

Solution steps

3^{4} \cdot 3^{- 2}

Apply exponent rule:

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

3^{4} \cdot 3^{- 2} = 3^{4 - 2}

= 3^{4 - 2}

Subtract the numbers:

4 - 2 = 2

= 3^{2}

3^{2} = 9

= 9

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Frequently Asked Questions (FAQ)

What is 3^4*3^{-2} ?
The solution to 3^4*3^{-2} is 9