# Chapter 1 - Problem Solving and Critical Thinking - 1.1 Inductive and Deductive Reasoning - Exercise Set 1.1 - Page 12: 55

c.

#### Work Step by Step

We are studying the following pattern: $a^2$#$a^4 = a^{10}$, $a^3$#$a^2=a^7$, $a^5$#$a^3 = a^{11}$ We know it's not equation a. because $a^{2*2+4} \ne a^{10}$ We know it's not equation c. because $a^{3+2+4}\ne a^7$ We know it's not equation d. because $a^{5*3+2}\ne a^{11}$ Therefore, it has to be equation c.

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