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Answer:
After solving the power:
Rectangular form:
Step-by-step explanation:
Given the complex number:
To find:
The indicated power by using De Moivre's theorem.
The complex number in rectangular form.
Rectangular form of a complex number is given as where a and b are real numbers.
Solution:
First of all, let us have a look at the De Moivre's theorem:
First of all, let us solve:
Let us apply the De Moivre's Theorem:
Here, n = 3
Now, the given complex number becomes:
Let us put the values of and
So, the rectangular form of the given complex number is: