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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 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

Multiply (a) $(2 \times 10^{2}) (1 \times 10^{- 4})$ to get answer in decimal form

Divide (b) $\frac{5 \times 10^{- 2}}{1 \times 10^{- 10}}$ to get answer in decimal form

Solve the square using the binomial squares pattern.

${(\frac{1}{8} x - \frac{1}{9} y)}^{2}$

When you convert a number from decimal notation to scientific notation, how do you know if the exponent will be positive or negative

Find the product of the below expression.

$(2 x + y) (x - 2 y)$

In the following exercises . Simplify the expression

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