Complex Numbers
India
Class XI
Powers of i
Interactive practice questions
In this question, we look at some different powers of $i$i.
a
Consider the expression $i^n$in. Which of the following values of $n$n would result in $i^n$in being equal to $1$1?
$16$16
A
$14$14
B
$4$4
C
$22$22
D
b
Complete the table by finding the value of each term.
| $i^2$i2 | $i^4$i4 | $i^6$i6 | $i^8$i8 |
|---|---|---|---|
| $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
Easy
1min
Simplify $2i^7$2i7.
Easy
< 1min
Simplify $4i^{10}$4i10.
Easy
< 1min
Simplify $vi^{10}$vi10.
Easy
< 1min
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