Answer
$m=(1-n^{3/4})^{4/3}$
Work Step by Step
Step 1. Given $m^{3/4}+n^{3/4}=1$, we have $m^{3/4}=1-n^{3/4}$
Step 2. Reverse the power for $m$ on both sides, we have $m=(1-n^{3/4})^{4/3}$
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