## Thinking Mathematically (6th Edition)

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.