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Exercises Polynomials and factoring

Example 10.59 from Prealgebra, 10.4 Divide Monomials

Divide Monomials: example 10.59

Find the quotient: $\frac{42 x^{2} y^{3}}{−7 x y^{5}} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

$\frac{42 x^{2} y^{3}}{−7 x y^{5}}$

Use fraction multiplication. $\frac{42}{−7} \cdot \frac{x^{2}}{x} \cdot \frac{y^{3}}{y^{5}}$

Simplify and use the Quotient Property. $−6 \cdot x \cdot \frac{1}{y^{2}}$

Multiply. $- \frac{6 x}{y^{2}}$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Find the quotient: $\frac{−84 x^{8} y^{3}}{7 x^{10} y^{2}} .$

How did it go?

PreviousDivide Monomials: example 10.58 Next Divide Monomials: example 10.60

From Prealgebra (1st edition) by OpenStax (Rice University), section 10.4, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.