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Popular >

simplify (0.027)^{1/3}(3^2)^{-1}

Solution

simplify

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

Solution

\frac{1}{30}

+1

Decimal Notation

0.03333 \dots

Solution steps

0.02 7^{\frac{1}{3}} (3^{2})^{- 1}

0.02 7^{\frac{1}{3}} = \frac{3}{10}

= \frac{3}{10} (3^{2})^{- 1}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

= \frac{3}{10} \cdot 3^{2 (- 1)}

2 (- 1) = - 2

= \frac{3}{10} \cdot 3^{- 2}

Apply exponent rule:

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

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

= \frac{3}{10} \cdot \frac{1}{3 ^{2}}

3^{2} = 9

= \frac{3}{10} \cdot \frac{1}{9}

\frac{3}{10} \cdot \frac{1}{9} = \frac{1}{30}

= \frac{1}{30}

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Frequently Asked Questions (FAQ)

What is (0.027)^{1/3}(3^2)^{-1} ?
The solution to (0.027)^{1/3}(3^2)^{-1} is 1/30