So I have this equation:
$${\left(\left(\frac{w}{x}\right)^{\frac{y}{x}}\right)}^{\frac{z}{x}}$$
And I know that
$${\left(a^b\right)}^c = a^{bc}$$
So I figured I'd simplify it into this:
$$\left(\frac{w}{x}\right)^{\frac{y}{x}\frac{z}{x}}$$
And then further into this:
$$\left(\frac{w}{x}\right)^{\frac{yz}{x^2}}$$
But for some reason, it doesn't appear to be working in all cases. What did I do wrong?
EDIT: In response to the Unclear what you're asking close votes, I am requesting assistance in finding the error in my simplification.
The problem most likely occurs in the way you are calculating your answers.
In general, a calculator will provide one answer to $a^{\frac1b}$, when there are actually $b$ existing roots.
Your math is perfectly fine, I believe it is your calculator that is the issue.