Answer
$\frac{1}{4096}$
Work Step by Step
Step 1: $4^{547}(4^{-553})$
Step 2: $4^{547}\times4^{-553}$
Step 3: $4^{547}\times\frac{1}{4^{553}}$
Step 4: $\frac{4^{547}}{4^{553}}$
Step 5: $\frac{1}{4^{553-547}}$
Step 6: $\frac{1}{4^{6}}$
Step 7: $\frac{1}{4096}$