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Popular >

simplify 4/3 (3)^{-2}

Solution

simplify

\frac{4}{3} (3)^{- 2}

Solution

\frac{4}{27}

+1

Decimal Notation

0.14814 \dots

Solution steps

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

Apply exponent rule:

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

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

= \frac{4}{3} \cdot \frac{1}{3 ^{2}}

3^{2} = 9

= \frac{4}{3} \cdot \frac{1}{9}

\frac{4}{3} \cdot \frac{1}{9} = \frac{4}{27}

= \frac{4}{27}

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Frequently Asked Questions (FAQ)

What is 4/3 (3)^{-2} ?
The solution to 4/3 (3)^{-2} is 4/27