Practice with Powers of i
Solve the following problems and simplify the answers.
Simplify:
Choose:
1 i -i
Explanation If you divide 35 by 4, the remainder is 3. If the remainder is 3, the answer is -i.
0 1 2
Explanation 12 divided by 4 has remainder 0 - the value is 1. 14 divided by 4 has remainder 2 - the value is -1. 20 divided by 4 has remainder 0 - the value is 1. 6 divided by 4 has remainder 2 - the value is -1. 1+ (-1) + 1 - (-1) = 2
Find the product of:
8 4 2i
Explanation 8 divided by 4 has remainder 0 - the value is 1. i squared is -1. 10 divided by 4 has remainder 2 - the value is -1. 12(-1)4(-1) = 1(-2)(-4) = 8
Find the sum of:
6 6i -6i
Explanation 9 divided by 4 has remainder of 1 - the value is i. 5 divided by 4 has remainder 1 - the value is i. 5i + i = 6i
Find the value of:
25 -10 -25
Explanation i raised to the third power is -i. (-5i) squared is (-5i)(-5i) = 25iČ = 25(-1) = -25
Roberts
