Simplify the expression:
-5+i/2i

To simplify this complex expression: z =

To, simplify the number by writing the number into the complex number form z = a+ bi.

Multiply and divide by the denominator (2i) in the given expression, we have,

then,

Distributive property states  that you multiply a sum by multiplying each addend separately and then add the products.  

for any a,b ;  

simplify the numerator  

by using distributive property we have;

or

                        .....[1]

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i.

Then,

[1]⇒

Also,

Then, we have;

=

or

=

Therefore, the  simplified expression of   is,