TI-30X Pro MathPrint raising i to powers > 3

[Matt Agajanian]

(12-27-2022 09:31 PM)Eddie W. Shore Wrote:  Until we find a non-graphing calculator that handles all powers of a + bi in one command, there are the polar/rectangular conversions in the Math menu of the TI-30X Pro Mathprint/TI-36X Pro.

(a + byi)^n = r^n * e^*(iΘ)

Algorithm:

R>Pr(a,b) sto→ x
R>PΘ(a,b) sto→ y
P>Rx(x,y) returns the real part of the result
P>Ry(x,y) returns the imaginary part of the result

Examples

1. (11 + 2i)^4 = 11753 + 10296i

(Radian Mode)
R>Pr(11,2) sto→ x (15625)
R>PΘ(11,2) sto→ y (0.719413999)
P>Rx(x,y) returns 11753
P>Ry(x,y) returns 10296

2. (4-3i)^5 = -3116 + 237i

(Radian Mode)
R>Pr(4,-3) sto→ x (3125)
R>PΘ(4,-3) sto→ y (-3.217505544)
P>Rx(x,y) returns -3116
P>Ry(x,y) returns 237

Hi. I’m missing a step. I can see the conversion of 4-3i. Where does the ^5 part come in?