1 year ago

What is the value of i4?

Mathematics

1 answer:

natima [27]1 year ago

8 0

Answer:

Step-by-step explanation:

You want to know the value of i^4.

<h3>Powers of i</h3>

The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.

i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1

The fourth power of i is 1.

<em>Additional comment</em>

As you can see from the evaluation process, ...

i¹ = i

i² = -1 . . . . . definition of i

i³ = -i

i⁴ = 1

The sequence repeats for higher powers.

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