Learn how to simplify any power of the imaginary unit i. For example, simplify i²⁷ as -i.

Learn about the imaginary unit i, about the imaginary numbers, and about square roots of negative numbers.

Discover the magic of the imaginary unit 'i'! This lesson dives into simplifying the square root of negative numbers using 'i', the principal square root of -1. We'll explore how to rewrite …

We'll learn what imaginary and complex numbers are, how to perform arithmetic operations with them, represent them graphically on the complex plane, and apply these concepts to solve …

The imaginary unit i is defined such that i²=-1. So what's i³? i³=i²⋅i=-i. What's i⁴? i⁴=i²⋅i²= (-1)²=1. What's i⁵? i⁵=i⁴⋅i=1⋅i=i. Discover how the powers of 'i' cycle through values, making it possible …

Dive into expressions involving the imaginary unit 'i', simplifying them to reveal the real and imaginary components. Learn how real and imaginary numbers are subsets of complex …

Technically, that shouldn't be possible; that's why it's called "imaginary". It exists so that we can work out equations in which you have to raise a negative number to an exponent.

This topic covers: - Adding, subtracting, multiplying, & dividing complex numbers - Complex plane - Absolute value & angle of complex numbers - Polar coordinates of complex numbers

Learn the Prime Factorization Method too where you prime factor your numerator and denominator separately so you can see all the prime factors of each number, which can help …

Taking the conjugate of the numerator would give you a real number divided by a complex number. That's great if you want the number in that form for some reason, but it isn't helpful in …