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\frac{1}{4^{2}}=n
Rewrite 4^{11} as 4^{9}\times 4^{2}. Cancel out 4^{9} in both numerator and denominator.
\frac{1}{16}=n
Calculate 4 to the power of 2 and get 16.
n=\frac{1}{16}
Swap sides so that all variable terms are on the left hand side.