Question

What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?

Answer 1

(b) -1 = i^(0+1+2+3+4)=i^(10) = (i^2)^5=(-1)^5 = -1.

Hope that helped :)

Explanation:

Answer 2

i⁰ × i¹ × i² × i³ × i⁴ = (−1)

Explanation:

The imaginary unit is denoted by the symbol i and is equal to square root of −1. The square of the imaginary unit is equal to −1.

Therefore, i = √−1 and i² = −1

also i⁰ = 1

Now solving the given expression

i⁰ × i¹ × i² × i³ × i⁴

= 1 × i¹ × i² × i³ × i⁴

= i¹ × (i¹ × i¹) × (i¹ × i¹ × i¹) × (i¹ × i¹ × i¹ × i¹)

= i² × i² × i² × i² × i²

= (−1) ×(−1) ×(−1) ×(−1) ×(−1)

= (−1)