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Exercises Polynomials and factoring

Example 6.64 from Elementary Algebra, 6.5 Divide Monomials

Divide Monomials: example 6.64

Simplify: ⓐ ${(\frac{3}{7})}^{2}$ ⓑ ${(\frac{b}{3})}^{4}$ ⓒ ${(\frac{k}{j})}^{3} .$

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
ⓐ

Use the Quotient Property, ${(\frac{a}{b})}^{m} = \frac{a^{m}}{b^{m}}$ .

Simplify.

ⓑ

Use the Quotient Property, ${(\frac{a}{b})}^{m} = \frac{a^{m}}{b^{m}}$ .

Simplify.

ⓒ

Raise the numerator and denominator to the third power.

Your turn

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

Simplify: ⓐ ${(\frac{5}{8})}^{2}$ ⓑ ${(\frac{p}{10})}^{4}$ ⓒ ${(\frac{m}{n})}^{7} .$

How did it go?

PreviousDivide Monomials: example 6.63 Next Divide Monomials: example 6.65

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.