Simplify Rational Expression with Exponents - Question 6

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In this video, the steps to solve question 6 in grade 11 practice on simplifying rational expressions with expoenents using exponents rules are presented.
Question:
Simplify the expression and write the result with positive exponents only.
\( \quad \displaystyle \frac{(3 \: x^2 y^2)^2}{(- 2 \: x y^2)^4} \:\div \:\frac{(3 \: x y)^3}{(6 \: x^{-1} y^2)^2} \).

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