Is it possible to solve for a negative exponent? If so, can someone help me get the n on one side of the equation?
I'm not a math student and I have no math teacher connections so I thought I would turn here when I was unable to find the answer myself on Google.
The equation calculates monthly car payments ($m$) from interest rate ($i$), principal ($p$) and number of months ($n$). I figured out how to solve for $p$ if I have all the other values. I assume $i$ is impossible to solve for, but $n$ looked like it might be possible.
?I'm not really sure about the math terms either if someone wants to help and put the correct tags.
$$\frac{\frac{i}{12}\times p}{1-\left(1+\frac{i}{12}\right)^{-n}} = m$$
Hint:
$a^{-b} = \frac{1}{a^b}$