1. If the exponent is less than or equal to 4 go directly to the chart.

2. If the exponent is greater than four, divide the exponent by four and use the remainder as the new exponent. Then use the chart.

wpe2.jpg (8748 bytes)

Directions: Please simplify the following powers of i.

Example 1	i³	Example 2	i⁷⁰⁵
Step 1		Step 1
	The exponent is less than or equal to four. Therefore we use the chart and see that i³=-i		The exponent is greater than four, therefore we must divide by four and find the remainder.
		Step 2
			705/4=175 with a remainder of 1. Therefore, i⁷⁰⁵ = i¹= i

Directions: Please simplify the following.

1. i⁴ 2. i⁷ 3. i¹⁴ 4. 2i²

5. -10i³ 6. i¹²⁰⁸ 7. i⁷⁶³ 8. -32i⁸⁰⁶