Find all the values of:
a. (-i)^i
b. (-1)^i
we with this complex variable problem.

(a) , where

(b), where .

Step-by-step explanation:

Let's remember the definition of complex exponents. If is a nonzero complex number and is a complex number, we define by

Where the function is the complex logarithm function. That is to say, , where . With this in mind we can calculate the given powers as follows:

(a) , where

(b), where .

This are all the values of the given powers.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet