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Exercises Polynomials and factoring

Example 6.72 from Elementary Algebra, 6.5 Divide Monomials

Divide Monomials: example 6.72

Find the quotient: $56 x^{7} \div 8 x^{3} .$

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

$56 x^{7} \div 8 x^{3}$

Rewrite as a fraction. $\frac{56 x^{7}}{8 x^{3}}$

Use fraction multiplication. $\frac{56}{8} \cdot \frac{x^{7}}{x^{3}}$

Simplify and use the Quotient Property. $7 x^{4}$

Your turn

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

Find the quotient: $42 y^{9} \div 6 y^{3} .$

How did it go?

PreviousDivide Monomials: example 6.71 Next Divide Monomials: example 6.73

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 6.5, 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.