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Find the value of i^4.
Practice Questions
Q1
Find the value of i^4.
1
i
-1
-i
Questions & Step-by-Step Solutions
Find the value of i^4.
Steps
Concepts
Step 1: Understand that 'i' is the imaginary unit, where i = √(-1).
Step 2: Calculate i^2. Since i = √(-1), then i^2 = -1.
Step 3: Now, we need to find i^4. We can do this by squaring i^2.
Step 4: So, i^4 = (i^2)^2 = (-1)^2.
Step 5: Calculate (-1)^2, which equals 1.
Step 6: Therefore, the value of i^4 is 1.
Complex Numbers
– Understanding the properties of the imaginary unit 'i', where i = √(-1) and its powers.
Exponentiation
– Applying the rules of exponents to simplify expressions involving powers of 'i'.
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