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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 6: Q. 758 (page 806)

In the following exercises, simplify the expression.
$(- 9 r^{4} s^{5}) (4 r s^{7})$

Short Answer

Expert verified

The simplified expression is $- 36 r^{5} s^{12}$ .

Step by step solution

01

Step 1. Given information.

Consider the given question,

$(- 9 r^{4} s^{5}) (4 r s^{7})$

02

Step 2. Simplify the expression.

We need to simplifying the expression, $(- 9 r^{4} s^{5}) (4 r s^{7})$ .

Remove the brackets,

$= - 9 r^{4} s^{5} 路 4 r s^{7}$

Using the property, $a^{x} . a^{y} = a^{x + y}$ ,

$= - 36 (r^{4 + 1}) (s^{5 + 7}) = - 36 r^{5} s^{12}$

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