Answer
$\frac{y^3}{x}$
Work Step by Step
We start with the given expression: $(x^5y^2)(x^{-6}y)$
We rearrange and regroup the expression using the associative and commutative properties of multiplication: $(x^5x^{-6})(y^2y)$
To multiply powers with the same base, we add the exponents: $(x^{5+(-6)})(y^{2+1})=x^{-1}y^3$
The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the expression:
$\frac{y^3}{x}$
