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Popular >

simplify 3^{-2}3^{-4}3^4

Solution

simplify

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

Solution

\frac{1}{9}

+1

Decimal

0.11111 \dots

Solution steps

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

Apply exponent rule:

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

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

= 3^{- 2 - 4 + 4}

Add/Subtract the numbers:

- 2 - 4 + 4 = - 2

= 3^{- 2}

Apply exponent rule:

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

3^{- 2} = \frac{1}{3 ^{2}}

= \frac{1}{3 ^{2}}

3^{2} = 9

= \frac{1}{9}

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Frequently Asked Questions (FAQ)

What is 3^{-2}*3^{-4}*3^4 ?
The solution to 3^{-2}*3^{-4}*3^4 is 1/9