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Exercises Polynomials and factoring

Example 6.65 from Elementary Algebra, 6.5 Divide Monomials

Divide Monomials: example 6.65

Simplify: $\frac{{(y^{4})}^{2}}{y^{6}} .$

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

$\frac{{(y^{4})}^{2}}{y^{6}}$

Multiply the exponents in the numerator. $\frac{y^{8}}{y^{6}}$

Subtract the exponents. $y^{2}$

Your turn

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

Simplify: $\frac{{(m^{5})}^{4}}{m^{7}} .$

How did it go?

PreviousDivide Monomials: example 6.64 Next Divide Monomials: example 6.66

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.