Example Problem - imaginary number i to large powers
i^263
Step 1 - divide the power by four in a calculator. So type 263/4 into a calculator. What does that give you?
65.75 259
Step 2 - Is that answer a whole number?
Yes, so i^263 = 1 No, it's a decimal
Step 3 - What comes after the decimal in 65.75
.25, so i^263 = i .5, so i^263 = -1 .75, so i^263 = -i
65.75 259
Step 2 - Is that answer a whole number?
Yes, so i^263 = 1 No, it's a decimal
Step 3 - What comes after the decimal in 65.75
.25, so i^263 = i .5, so i^263 = -1 .75, so i^263 = -i
