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Exercises Polynomials and factoring

Example 6.68 from Elementary Algebra, 6.5 Divide Monomials

Divide Monomials: example 6.68

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

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
Here we cannot simplify inside the parentheses first, since the bases are not the same.

${(\frac{j^{2}}{k^{3}})}^{4}$

Raise the numberator and denominator to the third power
using the Quotient to a Power Property, ${(\frac{a}{b})}^{m} = \frac{a^{m}}{b^{m}}$ .

Use the Powert Property and simplify. $\frac{j^{8}}{k^{12}}$

Your turn

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

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

How did it go?

PreviousDivide Monomials: example 6.67 Next Divide Monomials: example 6.69

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.