Determine whether the statement, "I multiplied two complex numbers in polar form by first multiplying the moduli and then multiplying the arguments", makes sense or does not make sense, and explain your reasoning.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.3: Complex Numbers
Problem 108E
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Determine whether the statement, "I multiplied two complex numbers in polar form by first multiplying the moduli and then multiplying the arguments", makes sense or does not make sense, and explain your reasoning.

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Step 1

Multiplication of complex numbers.

Step 2

Let 

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