How do you simplify i^256? what is i^256 simplified? a) divide 256 by 8 and multiply the remainder times i; 0 b) divide 256 by 4 and use the remainder of 0 as the new power of i.; 1 c) divide 256 by 6 and use the remainder of 0 as the new power of i.; 0 d) divide 256 by 6 and use the remainder of 0 as the new power of i.; -1

Step-by-step explanation:

You have that , so we must have

.

This says that we must make groups of four 's for simplify because they becomes 1, and the last group that is not of four 's is the result.

This is equivalent to divide 256 by 4 and use the remainder of that division, that is 0, as the new power of , and the result is 1 because . You can see the operation: