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Popular >

simplify 3^7*3^{-3}

Solution

simplify

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

Solution

81

Solution steps

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

Apply exponent rule:

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

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

= 3^{7 - 3}

Subtract the numbers:

7 - 3 = 4

= 3^{4}

3^{4} = 81

= 81

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Frequently Asked Questions (FAQ)

What is 3^7*3^{-3} ?
The solution to 3^7*3^{-3} is 81