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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. 180 (page 536)

In the following exercises, multiply the monomials.
$(a) (- 8 u^{6}) (- 9 u) (b) (\frac{2}{3} x^{2} y) (\frac{3}{4} x y^{2})$

Short Answer

Expert verified

The solution is

$(a) (- 8 u^{6}) (- 9 u) = 72 u^{7} (b) (\frac{2}{3} x^{2} y) (\frac{3}{4} x y^{2}) = \frac{x^{3} y^{3}}{2}$

Step by step solution

01

Part (a) Step 1. Given information

The given expression is

$(- 8 u^{6}) (- 9 u)$

02

Part (a) Step 2. Simplify

Using commutative property to rearrange the terms

$(- 8 u^{6}) (- 9 u) = (- 8) 路 (- 9) 路 u^{6} 路 u = 72 u^{6 + 1} = 72 u^{7}$

03

Part (b) Step 1. Given information

The given expression is

$(\frac{2}{3} x^{2} y) (\frac{3}{4} x y^{2})$

04

Part (b) Step 2. Simplify

Using commutative property to rearrange the terms

$(\frac{2}{3} x^{2} y) (\frac{3}{4} x y^{2}) = \frac{2}{3} 路 \frac{3}{4} 路 x^{2} 路 x 路 y 路 y^{2} = \frac{x^{2 + 1} y^{2 + 1}}{2} = \frac{x^{3} y^{3}}{2}$

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Most popular questions from this chapter

Convert (a) $- 8.3 脳 10^{2}$ (b) $3.8 脳 10^{- 2}$ to decimal form.

Find the product of the below expression.

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