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\frac{0^{2}\times 1^{-4}}{1^{4}}
Cancel out 0 in both numerator and denominator.
\frac{0^{2}}{1^{8}}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
\frac{0}{1^{8}}
Calculate 0 to the power of 2 and get 0.
\frac{0}{1}
Calculate 1 to the power of 8 and get 1.
0
Anything divided by one gives itself.