Question

Evaluate the imaginary number i^3

Answer 1

-i

Answer 2

Ok thats what I got dude but can you explain it

Answer 3

Please?

Answer 4

I’m trying to solve another and an explanation o this one would help a lot

Answer 5

Essentially, i^3 would be equivelant to i^2 * i and so on and so forth.

Answer 6

So every power that `i`is raised to follows the set of numbers
\(i, -1,-i, 1\)

\(i^1=i\\
i^2=-1\\
i^3=-i\\
i^4=1\)

Answer 7

thereby making i^2 * i = -1 * i leaving you with -i

Answer 8

As you continue on with the exponents the cycle continues
\(i^5=i\\ i^6=-1 \\ i^7=-i\\ i^8=1\)

Answer 9

That’s confusing but I think I get it thanks guys!

Answer 10

If we start from the basics, do you understand that
\(\Large i = \sqrt{-1}\)

Answer 11

average math noobie: "NO TSO THAT'S WRoOnGG IT CAN'T = -1!!!!111"

Answer 12

@TheSmartOne