Answer:
Step-by-step explanation:
We can determine the power of a complex number by the De Moivre's Theorem, which states that for all 
, where 
, the power of the complex number is:
(1)
Where:
- Magnitude of the complex number, dimensionless.
- Direction of the complex number.
If we know that 
, 
and 
, then the fourth power of the complex number is:
![z^{4} = 1^{4}\cdot \left[\cos\left(\frac{8\pi}{3} \right)+i\,\sin\left(\frac{8\pi}{3}\right)\right]](https://tex.z-dn.net/?f=z%5E%7B4%7D%20%3D%201%5E%7B4%7D%5Ccdot%20%5Cleft%5B%5Ccos%5Cleft%28%5Cfrac%7B8%5Cpi%7D%7B3%7D%20%5Cright%29%2Bi%5C%2C%5Csin%5Cleft%28%5Cfrac%7B8%5Cpi%7D%7B3%7D%5Cright%29%5Cright%5D)
-- these are called same side exterior angles, which means they are supplementary.
x + 9 + 2x + 6 = 180
3x + 15 = 180
3x = 165
x = 55
so, option B.
Answer:
Option (2)
Step-by-step explanation:
Given : y = 
If x = 7i
y = 
By simplifying denominator of the given rational expression,
y = 
y = 
y = 
y = 
[Since, i² = (-1)]
y = 
y = 
y = 
Therefore, Option (2) is the correct option.
Answer:
5490
Step-by-step explanation:
you multiply every number by 6 and you will get the answer
Answer:
It has to be B or D
Step-by-step explanation:
Hope it helps :)
