NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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Interactive practice questions

In this question, we look at some different powers of $i$i.

a

Complete the table by finding the value of each term.

$i^2$i2 $i^4$i4 $i^6$i6 $i^8$i8
$\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

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

$22$22

B

$4$4

C

$14$14

D

$16$16

A

$22$22

B

$4$4

C

$14$14

D
Easy
Approx 2 minutes
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Simplify $2i^7$2i7.

Simplify $4i^{10}$4i10.

Simplify $vi^{10}$vi10.

Outcomes

M8-9

Manipulate complex numbers and present them graphically

91577

Apply the algebra of complex numbers in solving problems

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