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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. 181 (page 536)

In the following exercises, multiply the monomials.
$(a) (- 6 c^{4}) (- 12 c) (b) (\frac{3}{5} m^{3} n^{2}) (\frac{5}{9} m^{2} n^{3})$

Short Answer

Expert verified

The solution is

$(a) (- 6 c^{4}) (- 12 c) = 72 c^{5} (b) (\frac{3}{5} m^{3} n^{2}) (\frac{5}{9} m^{2} n^{3}) = \frac{m^{5} n^{5}}{3}$

Step by step solution

01

Part (a) Step 1. Given information

The given expression is

$(- 6 c^{4}) (- 12 c)$

02

Part (a) Step 2. Simplify

Using commutative property to rearrange the terms

$(- 6 c^{4}) (- 12 c) = (- 6) 路 (- 12) 路 c^{4} 路 c = 72 c^{4 + 1} = 72 c^{5}$

03

Part (b) Step 1. Given expression

The given expression is

$(\frac{3}{5} m^{3} n^{2}) (\frac{5}{9} m^{2} n^{3})$

04

Part (b) Step 2. Simplify

Using commutative property to rearrange the terms

$(\frac{3}{5} m^{3} n^{2}) (\frac{5}{9} m^{2} n^{3}) = \frac{3}{5} 路 \frac{5}{9} 路 m^{3} 路 m^{2} 路 n^{2} 路 n^{3} = \frac{m^{3 + 2} n^{2 + 3}}{3} = \frac{m^{5} n^{5}}{3}$

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Most popular questions from this chapter

Convert (a) $5.2 脳 10^{2}$ (b) $2.5 脳 10^{- 2}$ to decimal form.

Solve the square using the binomial squares pattern.

${(q + 12)}^{2}$

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In the following exercises, multiply the binomials. Use any method.

$(6 p + 5) (p + 1)$

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