Regents Exam Questions A2.N.7: Imaginary Numbers 1
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Name: __________________________________
A2.N.7: Simplify powers of i
1 Mrs. Donahue made up a game to help her class learn about imaginary numbers. The
winner will be the student whose expression is equivalent to . Which expression will
win the game?
1)
2)
3)
4)
2 The expression
1) 1
2)
3) i
4)
is equivalent to
3 Which expression is equivalent to
1) 1
2)
3) i
4)
4 The value of
1) 1
2)
3) i
4)
is
5 The expression
1) 1
2) i
3)
4)
6 When simplified,
1) 1
2)
3) i
4)
is equivalent to
is equivalent to
7 Which expression is equivalent to
1) 1
2)
3) i
4)
?
Regents Exam Questions A2.N.7: Imaginary Numbers 1
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Name: __________________________________
8 Which expression is equivalent to
1) 1
2)
3) i
4)
9 The expression
1)
2)
3)
4)
10 When simplified,
1) i
2)
3)
4)
is equivalent to
is equal to
11 The expression
1) 1
2)
3)
4) i
equals
12 If i is the imaginary unit, the expression
1) 1
2)
3) i
4) 0
13 Expressed in simplest form,
1) 1
2)
3) i
4)
14 What is the value of
1) 1
2)
3)
4) 0
?
is equivalent to
is equivalent to
Regents Exam Questions A2.N.7: Imaginary Numbers 1
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Name: __________________________________
15 The product
1) 1
2)
3) i
4)
is
16 The product of
1) 1
2)
3)
4)
and
is equivalent to
17 The expression
1) 1
2)
3) i
4)
18 The expression
is equal to
is equivalent to
1) 1
2)
3) i
4)
19 The expression
1)
2)
3)
4)
is equivalent to
20 The expression
1)
2)
3)
4)
is equivalent to
21 What is the value of
1)
2)
3)
4)
?
Regents Exam Questions A2.N.7: Imaginary Numbers 1
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Name: __________________________________
22 If
1) 1
2)
3) i
4)
, what is the value of
?
23 If
1)
2) 2
3)
4) 4
, what is the value of
?
24 If
1)
2)
3)
4)
25 The expression
1)
2)
3)
4)
26 Express
27 Express
, then
is equivalent to
is equivalent to
in simplest form.
in simplest
28 Determine the value of n in simplest form:
form.
Regents Exam Questions A2.N.7: Imaginary Numbers 1
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1
2
3
4
5
6
7
8
9
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
2
3
4
1
3
4
3
3
1
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
REF:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
081004a2
3
4
4
4
4
2
1
2
3
2
1
2
2
3
4
3
REF: 011620a2
26 ANS:
REF: 061533a2
27 ANS:
REF: 011433a2
28 ANS:
REF: 061228a2
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
060615b
010705b
010905b
018631siii
069527siii
089830siii
010334siii
080327siii
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
080407b
060819b
060331siii
080215b
060315b
088423siii
061019a2
060410b
010518b
069925siii
080702b
060224siii
010034siii
080128siii
010415b