PLEASE HELP!!! CORRECT ANSWER GETS BRAINLIEST
2 answers:
Answer:
D
Step-by-step explanation:
I believe the correct answer choice is D!
This is because, knowing that the rule of signs is a negtive multiplied by a negative is a positive, that would make the 22 a positive number and the 40
a positive as well.
The parenthesis are representing the multiplication proccesses.
-(-x) = x ---> positive number
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Answer:
The fifth root is 2[cos(56°) + i sin(56°)]
Step-by-step explanation:
* To solve this problem we must revise De Moiver's rule
- In the complex number with polar form
∵ z = r(cosФ + i sinФ)
∴ z^n = r^n(cos(nФ) + i sin(nФ))
* In the problem
- The fifth root means z^(1/5)
- We can put 32 as a form a^n
∵ 32 = 2 × 2 × 2 × 2 × 2 = 2^5
∴ z = 2^5[cos(280°) + i sin(280°)]
* Lets find z^(1/5)
∴ z^(1/5) = 2[cos(56) + i sin(56)]
* The fifth root of 32[cos(280°) + i sin(280°)] is 2[cos(56°) + i sin(56°)]