What is the value of 1 + j¹⁰ + j¹⁰⁰ - j¹⁰⁰⁰?
- 2
- 1
- 0
- None of these
Explanation
Step 1: Determine the value of each power of j
j¹⁰ = (j²)⁵ = (-1)⁵ = -1.
j¹⁰⁰ = (j²)⁵⁰ = (-1)⁵⁰ = 1.
j¹⁰⁰⁰ = (j²)⁵⁰⁰ = (-1)⁵⁰⁰ = 1.
Step 2: Calculate the expression
1 + j¹⁰ + j¹⁰⁰ - j¹⁰⁰⁰ = 1 + (-1) + 1 - 1 = 0.
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