Imaginary Numbers - Simplifying Powers Of I Worksheet Page 2
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4Regents Exam Questions A2.N.7: Imaginary Numbers 1
Name: ________________________
16
i
6
2i
5
i
13
2
5i) is equivalent to
21 The expression 3i(2i
14 Expressed in simplest form, i
is
equivalent to
15 6i
1)
15 5i
1)
1
2)
1
15 5i
2)
3)
1 0i
3)
4)
i
i
4)
3
3
22 What is the value of (5i
)
?
99
i
3
15 What is the value of i
?
125i
1)
1)
1
2)
125i
96
15i
3)
2)
i
i
3)
4)
15i
4)
0
23 If f(x) x
2
3
, what is the value of f(i
) ?
3
i
7
16 The product i
is
1)
1
1
1)
1
2)
1
2)
3)
i
i
3)
4)
i
i
4)
24 If f(x) x
2
, what is the value of f(2i) ?
7
5
17 The product of i
and i
is equivalent to
2
1)
1)
1
2)
2
1
2)
4
3)
3)
i
4)
4
i
4)
25 If f(x) x
3
2x
2
, then f(i) is equivalent to
0
i
1
i
2
i
3
i
4
18 The expression i
is equal to
2 i
1)
1)
1
2 i
2)
1
2)
2 i
3)
3)
2 i
i
4)
i
4)
2
3
2xi
12
26 The expression x(3i
)
is equivalent to
16
i
2x 27xi
1)
19 The expression
is equivalent to
3
7x
2)
i
25x
1)
1
3)
1
29x
2)
4)
3)
i
i
4)
8
yi
6
27 Express xi
in simplest form.
2
(2 i) is equivalent to
20 The expression i
28 Express 4xi 5yi
8
6xi
3
2yi
4
in simplest a bi
2 i
1)
2 i
form.
2)
2 i
3)
2 i
4)
29 Determine the value of n in simplest form:
13
i
18
i
31
n 0
i
2
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