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Popular >

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

Solution

simplify

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

Solution

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

+1

Decimal Notation

0.20998 \dots

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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