Derivatives of powers of polynomials

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Find the derivative $\;\;\;\frac{d}{dx}\left(4x-7\right)^{-4}$

**Answer**

$\;\;\;\frac{d}{dx}\left(4x-7\right)^{-4}$

$=-4\left(4x-7\right)^{-5}\left(4\right)$

$=-16\left(4x-7\right)^{-5}$