What is (7-x^3)^{-1}(x^2-1)^{2/3} ?

The solution to (7-x^3)^{-1}(x^2-1)^{2/3} is ((x^2-1)^{2/3})/(7-x^3)

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simplify (7-x^3)^{-1}(x^2-1)^{2/3}

simplify

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

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

Solution steps

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

Apply exponent rule:

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

(7 - x^{3})^{- 1} = \frac{1}{7 - x ^{3}}

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

Apply the fraction rule:

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

= \frac{1 \cdot ( x ^{2} - 1 ) ^{\frac{2}{3}}}{7 - x ^{3}}

Apply rule:

1 \cdot a = a

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

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

\frac{d}{d x} (20 e^{- 4 x} cos (50 x))

\frac{\partial}{\partial x} (x y^{2} - 2 x y - 2 x^{2} - 3 x)

\frac{d y}{d x} = y^{2} e^{- 2 x}

\frac{d}{d x} (\frac{5}{2} x^{- 2})

e^{m x}

What is (7-x^3)^{-1}(x^2-1)^{2/3} ?
The solution to (7-x^3)^{-1}(x^2-1)^{2/3} is ((x^2-1)^{2/3})/(7-x^3)