If there is no remainder then the new power of i is zero soĪnd finally, last but not least (and by the way this is as big as you're remainder will ever get), if the remainder is 3įor example: you have i^333 and you want to its value. The following steps are as indicated below:Ģnd you replace its power by the remainder of the original power of iģrd your answer will now be determined by the new power of your i
#ADDING AND SUBTRACTING COMPLEX NUMBERS HOW TO#
Just follow these steps and you will be able to solve for the value of an imaginary number i raised to any power. How to Add and Subtract Complex Numbers Step 1: Start by grouping your real numbers and your imaginary numbers.
To determine what happens to an imaginary number such as i when raised to a certain power. x + yi 2 + 5i if and only if x 2 and y 5.-7i a 0 b Z 0 a. Subtracting complex numbers is also done using the same parts. For example, Operations with Complex Numbers Adding complex numbers is done by adding their real and imaginary parts separately. I had similar question just few days ago, and after completing the exercise in Imaginary Unit Powers and studying, I FINALLY found THE ANSWER I was looking for. Method 1: Recall that we can add or subtract multiple complex numbers by adding or subtracting the real part and the imaginary part of each complex number. Two complex numbers are equal if and only if their real and imaginary parts are equal.
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