Simplify.
\[
\frac{a^{5} b^{2}}{a^{4} b^{6}}
\]
Final Answer: \(\boxed{\frac{a}{b^{4}}}\)
Step 1 :Given the expression \(\frac{a^{5} b^{2}}{a^{4} b^{6}}\).
Step 2 :To simplify this expression, we can use the properties of exponents. Specifically, when dividing terms with the same base, we subtract the exponents.
Step 3 :So, we subtract the exponent of a in the denominator from the exponent of a in the numerator, and do the same for b. This will give us the simplified form of the expression.
Step 4 :The simplified expression is \(\frac{a}{b^{4}}\).
Step 5 :Final Answer: \(\boxed{\frac{a}{b^{4}}}\)