If i = √(-1), what is i^3i^3 equal to?

Question

If
`i = √(-1), what is i^3`i^3 equal to?

Answer 1

To calculate i^3, you multiply i by itself three times. Since i squared is -1, the third power, i^3, results in multiplying -1 by i, which equals -i.

Step-by-step explanation:

To find what i^3 is equal to, consider that i is the imaginary unit, defined as i = √{-1}. Now, let's break down the exponentiation:

• i^1 = i
• i^2 = i · i = -1 (since i is the square root of -1)
• i^3 = i^2 · i = (-1) · i = -i

Thus, i^3 is equal to -i.

Answer 2

i²=-1

And i²•i= -1(i)=-i

So i³=-i