Answer
$z=16$
Work Step by Step
We solve by factoring:
$z^{1/2}-4t^{1/4}+4=0$
$[z^{1/4}-2][z^{1/4}-2]=0$
$(z^{1/4}-2)^2=0$
$z^{1/4}-2=0$
$z^{1/4}=2$
$z=2^4$
$z=16$
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