Can someone explain to me in intuitive terms why the trick of bringing the the exponent out front and then reducing the power by 1 works?(adsbygoogle = window.adsbygoogle || []).push({});

Solving problems using the Limit definition of a derivative (where we take a secant line closer and closer to a point) makes great intuitive sense, but I can't wrap my feeble mind around where the shortcut method for finding a derivative comes from...

Thanks

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# Why does the power rule work? [answer is probably :/ obvious]

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