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Popular >

simplify 3^{-3}*3^{-2}

Solution

simplify

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

Solution

\frac{1}{243}

+1

Solution steps

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

Apply exponent rule:

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

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

= 3^{- 3 - 2}

Subtract the numbers:

- 3 - 2 = - 5

= 3^{- 5}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

3^{- 5} = \frac{1}{3 ^{5}}

= \frac{1}{3 ^{5}}

3^{5} = 243

= \frac{1}{243}

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Frequently Asked Questions (FAQ)

What is 3^{-3}*3^{-2} ?
The solution to 3^{-3}*3^{-2} is 1/243