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13 votes
13 votes
Which of the following is equivalent to the

complex number ;³¹?
Choose 1 answer:
A
B
C
D
1
i
-1
-i

Which of the following is equivalent to the complex number ;³¹? Choose 1 answer: A-example-1
User Jaecheol Park
by
2.7k points

1 Answer

9 votes
9 votes

Explanation:


= {i}^(31)


= {i}^(28) * {i}^(3)


= {( {i}^(4) )}^(7) * ( {i}^(2) * i)


= ( {i}^(2) * {i}^(2) ) {}^(7) * {i}^(2) * i


= ( - 1 * ( - 1)) {}^(7) * ( - 1) * i


= {1}^(7) * ( - i)


= 1 * ( - i)


= - i

The answer is D.

User GNassro
by
3.0k points