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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: 293. (page 551)

$\frac{(- 18 p^{4} q^{7}) (- 6 p^{3} q^{8})}{- 36 p^{12} q^{10}}$

Short Answer

Expert verified

$\frac{3 q^{5}}{p^{5}}$

Step by step solution

01

Step 1

Rewrite as faction and use fraction multiplcation

= $(\frac{- 18}{36}) (- 6) (\frac{p^{4} . p^{3}}{p^{12}}) (\frac{q^{8} . q^{7}}{q^{10}})$

02

Step 2

Use the quotient property to simplify.

= 3 . \frac{1}{p^{5}} . q^{5}

03

Step 3

Multiply the results to get the answer.

= $\frac{3 q^{5}}{p^{5}}$

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Most popular questions from this chapter

In the following exercises, multiply the binomials using a) the Distributive Property; b) the FOIL method; c) the Vertical Method

$(7 q + 4) (3 q - 8)$

Multiply each pair of conjugates using the product of the conjugates pattern.

$(11 k + 4) (11 k - 4)$

Multiply (a) $(3.5 脳 10^{- 4}) (1.6 脳 10^{- 2})$ to get answer in decimal form

Divide (b) $\frac{8 脳 10^{6}}{4 脳 10^{- 1}}$ to get answer in decimal form

Find the product of the below expression.

$(p - 3) (p + 3)$

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