1. The problem statement, all variables and given/known data Show this by writing the individual factors on the left in exponential form, performing the needed operations, and finally changing back to rectangular coordinates. 2. Relevant equations i is an imaginary number. 3. The attempt at a solution Looking at the numerator, z_1 = 5i where r = |z_1|= 5, theta = pi/2. Looking at the denominator, z_2 = 2+i where r = |z_2| = sqrt(5), theta = arctan(1/2). So, in exponential form, 5i/(2+i) becomes 5*e^(i*pi/2) / sqrt(5)*e^(i*arctan(1/2)) => sqrt(5)*e^(i*pi/2) / e^(i*arctan(1/2)) = sqrt(5)*e^(i*((pi/2) - arctan(1/2))) but I don't see how this can be turned back into 1+2i since 1+2i in exponential form is sqrt(5)*e^(i*arctan(2)). Am I missing an algebra step or did I do something wrong? Thank you.