Question

what is the value of the expression \\(i^0 \times i^1 \times i^2 \times i^3 \times i^4\\)?

1
-1
i
-i

Explanation:

Simplify the product using exponent rules

$$ i^0 \times i^1 \times i^2 \times i^3 \times i^4 = i^{0 + 1 + 2 + 3 + 4} = i^{10} $$

Evaluate the simplified power of i

$$ i^{10} = i^{4 \times 2 + 2} = (i^4)^2 \times i^2 = (1)^2 \times (-1) = -1 $$

Answer:

• 1
• -1 (Correct answer)
• i
• -i