Powers of i - Concept

Concept Concept (1)

To determine the value of i raised to a power greater than two, we rewrite the term using exponent rules.Remember that i^2 = -1 and i^4 = 1. Therefore, any exponent of i that is a multiple of four will equal one; any even exponent not divisible by four will equal negative one. Also, negative exponents indicate a reciprocal of the base; if i is in the denominator, it will need to be rationalized.

Sample Sample Problems (2)

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Powers of i - Problem 1

Evaluate:

i¹²¹ =
Problem 1
How to evaluate i to a large power.
Powers of i - Problem 2

Evaluate:

i-273 =
Problem 2
How to evaluate i to a negative power.