SOLUTION: We use the Greek letter iota, i, to represent the square root of -1 ( ). We call i an imaginary unit. Any number that is a product of a real number and the imaginary unit i is call

Question 936945: We use the Greek letter iota, i, to represent the square root of -1 ( ). We call i an imaginary unit. Any number that is a product of a real number and the imaginary unit i is called an imaginary number. Complex numbers are numbers that consist of a real part and an imaginary part, and they are generally expressed as a + bi. In this task, you will find a pattern relating to the powers of i and also discover some identities involving complex numbers.
a. Use the identity i2 = -1 to compute the powers of i and complete the table.
Type your response here:
Power of i Result
i^3
i^4
i^5
i^6
i^7
i^4n
i^4n+1
i^4n+2
i^4n+3
b. Examine the pattern in the powers of i you wrote in the table, and create a rule for finding the value of large powers of i. Justify your answer.

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
a. Use the identity and complete the table.
Type your response here:
Power of i Result

b. Examine the pattern in the powers of you wrote in the table, and create a rule for finding the value of large powers of . Justify your answer.
is the product of multiplying bases:
....... and is multiplied by times
so,we can apply same rule if and we will have
............. times

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