What is the value of i3 in complex numbers?


What is the value of i^3 in complex numbers?

Powers of the Imaginary Number i:

In mathematics, an imaginary number is a number that contains the number i, where i is the imaginary number with value {eq}\sqrt{-1} {/eq}. By the definition of i, we can calculate powers of i by multiplying {eq}\sqrt{-1} {/eq} by itself the number of times indicated by the power and using the fact that {eq}\sqrt{-1}\times \sqrt{-1}=-1 {/eq} to simplify.

Answer and Explanation:

The value of i3 is -i. We can determine this by multiplying i, or {eq}\sqrt{-1} {/eq}, by itself three times.

  • i3 = i × i × i =...

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Learn more about this topic:

What is an Imaginary Number?

from Math 101: College Algebra

Chapter 5 / Lesson 1

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