Describe how you would check the product of two rational expression? Create and demonstrate your own example of this concept

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Describe how you would check the product of two rational expression? Create and demonstrate your own example of this concept

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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To check the product of two rational expressions you can multiply the quotient by the numerator. If the product is the denominator then the answer will be correct. Vice versa will also work.
But how would I create a concept for this?
How would I do 18st^4 over 52s^3t multiple 16s^3 over 9s^2 t?

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