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Exercises Polynomials and factoring

Example 10.61 from Prealgebra, 10.4 Divide Monomials

Divide Monomials: example 10.61

Find the quotient: $\frac{14}{21}$

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

$\frac{14 x^{7} y^{12}}{21 x^{11} y^{6}}$

Simplify and use the Quotient Property. $\frac{2 y^{6}}{3 x^{4}}$

Be very careful to simplify $\frac{14}{21}$ by dividing out a common factor, and to simplify the variables by subtracting their exponents.

Your turn

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

Find the quotient: $\frac{28 x^{5} y^{14}}{49 x^{9} y^{12}} .$

How did it go?

PreviousDivide Monomials: example 10.60 Next Divide Monomials: example 10.62

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.