How can this expression be written into the more common form?

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How can one rewrite this expression $k^{\ast} = \left(\frac{\delta}{\gamma \cdot A}\right)^{\frac{1}{\alpha - 1}}$ to this expression $k^{\ast} = \left(\frac{\gamma \cdot A}{\delta}\right)^{\frac{1}{1 - \alpha}}$ using common rules?

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Hint: Use the identity

$$x^{a}=\left(\frac{1}{x}\right)^{-a}$$