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\frac{81}{3^{4}}-9^{0}
Calculate 9 to the power of 2 and get 81.
\frac{81}{81}-9^{0}
Calculate 3 to the power of 4 and get 81.
1-9^{0}
Divide 81 by 81 to get 1.
1-1
Calculate 9 to the power of 0 and get 1.
0
Subtract 1 from 1 to get 0.