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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Apply rule:

1 \cdot a = a

1 \cdot (x - 1) = (x - 1)

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

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

3 a^{2} \cdot b - a^{4}

(w^{5}) (w^{3})

\frac{( 12 x ^{4} + 9 x ^{3} + 15 x ^{2} )}{3 x}

\frac{tan ^{5} ( x )}{tan ^{3} ( x )}