Hello All,

Here is the problem:

$\displaystyle y=\sqrt[n]{\frac{1}{x^m}}$

Here is what I got:

$\displaystyle \frac{dy}{dx}=\frac{-mx}{n}^\frac{-m-n}{n}$

Here is what the answer I was given:

$\displaystyle \frac{dy}{dx}=\frac{-mx}{n}^\frac{-m+n}{n}$

I don't understand how the exponent could be -m+n??? When you take the derivative of a power, you are supposed to subtract one, correct? If so, doesn't

$\displaystyle \frac{-m}{n}$ -1 = $\displaystyle \frac{-m-n}{n}$