Solve for z
z=0.015625
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0.25=4z\times 4
Calculate 0.5 to the power of 2 and get 0.25.
0.25=16z
Multiply 4 and 4 to get 16.
16z=0.25
Swap sides so that all variable terms are on the left hand side.
z=\frac{0.25}{16}
Divide both sides by 16.
z=\frac{25}{1600}
Expand \frac{0.25}{16} by multiplying both numerator and the denominator by 100.
z=\frac{1}{64}
Reduce the fraction \frac{25}{1600} to lowest terms by extracting and canceling out 25.
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