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Popular >

simplify 3^7*3^{-4}

Solution

simplify

3^{7} \cdot 3^{- 4}

Solution

27

Solution steps

3^{7} \cdot 3^{- 4}

Apply exponent rule:

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

3^{7} \cdot 3^{- 4} = 3^{7 - 4}

= 3^{7 - 4}

Subtract the numbers:

7 - 4 = 3

= 3^{3}

3^{3} = 27

= 27

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Frequently Asked Questions (FAQ)

What is 3^7*3^{-4} ?
The solution to 3^7*3^{-4} is 27