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Find the value of i^4.

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What’s inside this PDF?

Question: Find the value of i^4.

Options:

  1. 1
  2. i
  3. -1
  4. -i

Correct Answer: 1

Solution: 

i^4 = (i^2)^2 = (-1)^2 = 1.

Find the value of i^4.

Practice Questions

Q1
Find the value of i^4.
  1. 1
  2. i
  3. -1
  4. -i

Questions & Step-by-Step Solutions

Find the value of i^4.
  • 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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