140k views
10 votes
If i=

√( - 1)
what is the value of

{i}^(3)


User Draca
by
8.6k points

2 Answers

4 votes

Answer:

.......the answer is -1

User Surrogate
by
8.2k points
11 votes

Step-by-step explanation

  • Define of Imaginary Number


√( - 1) = i

  • Find the value of i³


{i}^(3) = ( √( - 1) )( √( - 1) )( √( - 1) )

Because it is also defined that i² = -1. Therefore


{i}^(2) = - 1 \\ {i}^(3) = - 1 √( - 1)

We don't usually write 1 or -1. Simplify


{i}^(3) = - i

Make sure to convert or simplify any negative numbers in square root in simplest form or with "i".

Answer


{i}^(3) = - i

User Mongus Pong
by
9.0k points

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