Divide Monomials: example 10.55

Simplify: ${(\frac{p^{2}}{q^{5}})}^{3} .$

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.

Your turn

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

Simplify: ${(\frac{m^{3}}{n^{8}})}^{5} .$

How did it go?

	${(\frac{p^{2}}{q^{5}})}^{3}$
Raise the numerator and denominator to the third power using the Quotient to a Power Property, ${(\frac{a}{b})}^{m} = \frac{a^{m}}{b^{m}}$	$\frac{{(p^{2})}^{3}}{{(q^{5})}^{3}}$
Use the Power Property, ${(a^{m})}^{n} = a^{m \cdot n} .$	$\frac{p^{6}}{q^{15}}$