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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 178 (page 536)

In the following exercises, multiply the monomials.
$(a) (6 y^{7}) (- 3 y^{4}) (b) (\frac{4}{7} r s^{2}) (14 r s^{3})$

Short Answer

Expert verified

The solution is

$(a) (6 y^{7}) (- 3 y^{4}) = - 18 y^{11} (b) (\frac{4}{7} r s^{2}) (14 r s^{3}) = 8 r^{2} s^{5}$

Step by step solution

01

Part (a) Step 1. Given information

The given expression is

$(6 y^{7}) (- 3 y^{4})$

02

Part (a) Step 2. Simplify

Using commutative property to rearrange the terms

$(6 y^{7}) (- 3 y^{4}) = 6 路 (- 3) 路 y^{7} 路 y^{4} = - 18 y^{7 + 4} = - 18 y^{11}$

03

Part (b) Step1. Given information

The given expression is

$(\frac{4}{7} r s^{2}) (14 r s^{3})$

04

Part (b) Step 2. Simplify

Using commutative property to rearrange the terms

$(\frac{4}{7} r s^{2}) (14 r s^{3}) = \frac{4}{7} 路 14 路 r 路 r 路 s^{2} 路 s^{3} = 8 r^{2} s^{3 + 2} = 8 r^{2} s^{5}$

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Most popular questions from this chapter

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