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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: 295. (page 551)

$\frac{(4 u^{2} v^{5}) (15 u^{3} v)}{(12 u^{3} v) (u^{4} v)}$

Short Answer

Expert verified

$5 \frac{v^{4}}{u^{2}}$

Step by step solution

01

step 1

Rewrite as a fraction and use fraction multiplication

= $(\frac{4.15}{12}) (\frac{u^{2} . u^{3}}{u^{3} . u^{4}}) (\frac{v^{5} . v^{1}}{v . v})$

02

step 2

Use the quotient property to simplify

= $5 . \frac{1}{u^{2}} . v^{4}$

03

Step 3

Multiply the results to get the answer

=

5 \frac{v^{4}}{u^{2}}

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Most popular questions from this chapter

Write number (a) 1,290,000 (b) 0.00000103 in scientific notation

In the following exercises , simplify the expression $(4 a^{3} b) (9 a^{2} b^{6})$ .

Simplify

(a) ${(2 r^{- 2})}^{3} {(4^{- 1} r)}^{2}$ (b) ${(3 x^{- 3})}^{3} {(3^{- 1} x^{5})}^{4}$

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

$(8 j + 4) (8 j - 4)$

Find the product of the below expression.

${(m + n)}^{2}$

See all solutions

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