To simplify this expression, we will first expand the product of the complex numbers (5 - 4i) and (3 + 2i), and then add the value of i^6.
(5 - 4i)(3 + 2i) = 15 + 10i - 12i - 8i^2= 15 - 2i - 8(-1)= 15 - 2i + 8= 23 - 2i
Now, we will add i^6 to the result:
i^6 = (i^2)^3= (-1)^3= -1
Finally, the simplified expression is:
23 - 2i - 1= 22 - 2i
To simplify this expression, we will first expand the product of the complex numbers (5 - 4i) and (3 + 2i), and then add the value of i^6.
(5 - 4i)(3 + 2i) = 15 + 10i - 12i - 8i^2
= 15 - 2i - 8(-1)
= 15 - 2i + 8
= 23 - 2i
Now, we will add i^6 to the result:
i^6 = (i^2)^3
= (-1)^3
= -1
Finally, the simplified expression is:
23 - 2i - 1
= 22 - 2i