Answer
$m=(1-n^{3/4})^{4/3}$
Work Step by Step
We solve this equation for $m$:
$m^{3/4}+n^{3/4}=1$
$m^{3/4}=1-n^{3/4}$
We raise both sides to the $\displaystyle \frac{4}{3}$:
$(m^{3/4})^{4/3}=(1-n^{3/4})^{4/3}$
$m=(1-n^{3/4})^{4/3}$
(We can't distribute the power further due to the minus sign.)
