Practice Problems on Complex Number Power Formula
Problem 1: Compute (1+ i)5.
Problem 2: Find the value of (2 − 3i)4.
Problem 3: Evaluate (1 − i)6.
Problem 4: Calculate (3+4i)3.
Problem 5: Determine (1+3i)7.
Complex Number Power Formula
Complex Numbers are numbers that can be written as a + ib, where a and b are real numbers and i (iota) is the imaginary component and its value is √(-1), and are often represented in rectangle or standard form. 10 + 5i, for example, is a complex number in which 10 represents the real component and 5i represents the imaginary part. Depending on the values of a and b, they might be wholly real or purely fictitious. When a = 0 in a + ib, ib is a totally imaginary number, and when b = 0, we get a, which is a strictly real number.
In this article, we will learn about, complex number power formulas, their examples, and others in detail.
Table of Content
- Complex Number Definition
- Complex Number Power Formula
- Complex Number Power Formula Derivation
- Solved Example on Complex Number Power Formula
- FAQs