Problem

Simplify.
\[
\frac{a^{5} b^{2}}{a^{4} b^{6}}
\]

Answer

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Answer

Final Answer: \(\boxed{\frac{a}{b^{4}}}\)

Steps

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: \(\boxed{\frac{a}{b^{4}}}\)

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