Simplify each of the following powers of i. i^32

the answer is 1. the trick here is to divide the exponent to 4.

Step-by-step explanation:

i^32 32÷4=8

i

-1

-i

1

 The required value of the given power of i is 1.

Step-by-step explanation:  We are given to simplify the following power of i :

We know that

the value of the imaginary number i(iota) is given by

From expression (i), we get

Thus, the required value of the given power of i is 1.

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step-by-step explanation:

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8