Question

????? ?ℎ?? ? = 5 − 2?, ??? ? = 8 + 7?, ????????:
a) ??̅
b )?/?
c) (?̅−??)/(?+?+?)

Answer 1

Here' the answer to the question. Please let me know in case you've a doubt on the answer.

a.

w^ = 8-7i
z^ = 5+2i

a. zw^
= (5-2i)*(8-7i)
= 40 - 35i - 16i + 2*7
= 54 - 51i

b. z/w
= (5-2i)/(8+7i)
Multiplying numerator and denominator by (8-7i)
= (5-2i)*(8-7i)/(8+7i)*(8-7i)
= (54-51i)/(64-49)
= (18-17i)/5

c. (z^-3i)/(w+6+i)
= (5-i)/(8+7i+6+i)
= (5-i)/(14+8i)
Multiplying by 14-8i
= (5-i)*(14-8i)/(14+8i)*(14-8i)
= (70-14i-40i + 8)/(196-64)
= (78-54i)/(132)
= (13-9i)/22