What is 1/3 x^{(-2)/3} ?

The solution to 1/3 x^{(-2)/3} is 1/(3x^{2/3)}

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

simplify

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

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

Solution steps

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

Apply the fraction rule:

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

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

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

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

Multiply the numbers:

1 \cdot 1 = 1

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

\frac{1}{2} x^{- 1}

\frac{120}{150}

(3 e^{3 x})^{2}

3 x^{2} + 24 x - 27

\frac{1}{1 + e ^{- 2.4}}