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Exercises Polynomials and factoring

Example 10.51 from Prealgebra, 10.4 Divide Monomials

Divide Monomials: example 10.51

Simplify:

ⓐ ${(\frac{5}{8})}^{2}$
ⓑ ${(\frac{x}{3})}^{4}$
ⓒ ${(\frac{y}{m})}^{3}$

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 to a Power Property, ${(\frac{a}{b})}^{m} = \frac{a^{m}}{b^{m}}$ .

Simplify.

ⓑ

Use the Quotient to a Power 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:

ⓐ ${(\frac{7}{9})}^{2}$
ⓑ ${(\frac{y}{8})}^{3}$
ⓒ ${(\frac{p}{q})}^{6}$

How did it go?

PreviousDivide Monomials: example 10.50 Next Divide Monomials: example 10.52

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.