Compute each of the following, simplifying the result into a +bi form. I look at the answer in my book it is this. But How they solved it?
1) (2+2i)^8 =4096

Step-by-step explanation:

We have , to simplify a complex expression . Basically a complex expression in the form a + ib , where i = and is called iota.

Expression:

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We know that the mod or modulus of a complex number in the form of is represented by Z and Z = . Computing mod of as :

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Putting value of as , we get:

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step-by-step explanation:   divide the numerator by the denominator to get the decimal

it would still be 193

if divide by 100 then 1.93

i am not sure