Answer
$x=0$ or $x=81$
Work Step by Step
We solve by factoring:
$x^{3/4}-9x^{1/4}=0$
$x^{1/4}(x^{1/2}-9)=0$
$x^{1/4}=0$ or $x^{1/2}=9$
$x=0^4$ or $x=9^2$
$x=0$ or $x=81$
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