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\frac{\frac{1}{2}+2^{-2}+36^{-\frac{1}{2}}}{81^{\frac{3}{4}}+16^{-\frac{1}{4}}-1^{-10}}
Calculate 2 to the power of -1 and get \frac{1}{2}.
\frac{\frac{1}{2}+\frac{1}{4}+36^{-\frac{1}{2}}}{81^{\frac{3}{4}}+16^{-\frac{1}{4}}-1^{-10}}
Calculate 2 to the power of -2 and get \frac{1}{4}.
\frac{\frac{3}{4}+36^{-\frac{1}{2}}}{81^{\frac{3}{4}}+16^{-\frac{1}{4}}-1^{-10}}
Add \frac{1}{2} and \frac{1}{4} to get \frac{3}{4}.
\frac{\frac{3}{4}+\frac{1}{6}}{81^{\frac{3}{4}}+16^{-\frac{1}{4}}-1^{-10}}
Calculate 36 to the power of -\frac{1}{2} and get \frac{1}{6}.
\frac{\frac{11}{12}}{81^{\frac{3}{4}}+16^{-\frac{1}{4}}-1^{-10}}
Add \frac{3}{4} and \frac{1}{6} to get \frac{11}{12}.
\frac{\frac{11}{12}}{27+16^{-\frac{1}{4}}-1^{-10}}
Calculate 81 to the power of \frac{3}{4} and get 27.
\frac{\frac{11}{12}}{27+\frac{1}{2}-1^{-10}}
Calculate 16 to the power of -\frac{1}{4} and get \frac{1}{2}.
\frac{\frac{11}{12}}{\frac{55}{2}-1^{-10}}
Add 27 and \frac{1}{2} to get \frac{55}{2}.
\frac{\frac{11}{12}}{\frac{55}{2}-1}
Calculate 1 to the power of -10 and get 1.
\frac{\frac{11}{12}}{\frac{53}{2}}
Subtract 1 from \frac{55}{2} to get \frac{53}{2}.
\frac{11}{12}\times \frac{2}{53}
Divide \frac{11}{12} by \frac{53}{2} by multiplying \frac{11}{12} by the reciprocal of \frac{53}{2}.
\frac{11}{318}
Multiply \frac{11}{12} and \frac{2}{53} to get \frac{11}{318}.