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Popular >

simplify 6(1/3)^{-2}

Solution

simplify

6 (\frac{1}{3})^{- 2}

Solution

54

Solution steps

6 (\frac{1}{3})^{- 2}

Apply exponent rule:

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

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

= 6 \cdot \frac{1}{( \frac{1}{3} ) ^{2}}

(\frac{1}{3})^{2} = \frac{1}{9}

= 6 \cdot \frac{1}{\frac{1}{9}}

\frac{1}{\frac{1}{9}} = 9

= 6 \cdot 9

Multiply the numbers:

6 \cdot 9 = 54

= 54

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Frequently Asked Questions (FAQ)

What is 6(1/3)^{-2} ?
The solution to 6(1/3)^{-2} is 54