Question

Use the inverse relationship to complete the expression. If i = -1, then i^2 =

A. -1
B. 1
C. -i
D. i

Answer 1

The value of i to the power of 2 is 1, which corresponds to answer option B. This results from the multiplication of the imaginary unit i with itself, yielding the product of two negative numbers, which is positive.

Step-by-step explanation:

The question asks us to determine the value of i to the power of 2, given that i is the imaginary unit, where i = -1. We can calculate this as follows:

i2 = (i) * (i)

= (-1) * (-1)

= 1

Hence, the correct answer is B. 1

This is because the multiplication rule for negative numbers states that the product of two negative numbers is positive. The same principle applies to the imaginary unit i when squared.