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.