Powers and Exponents: Squares, Cubes, and Powers of 2 and 3

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Vocabulary flashcards covering reference values for perfect squares, perfect cubes, perfect fourth powers, and key powers of 2 and 3.

45 Terms

1
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Perfect Squares

The numbers resulting from squaring integers, listed from 12=11^2 = 1 to 152=22515^2 = 225.

2
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Perfect Cubes

The numbers resulting from raising integers to the third power, listed from 13=11^3 = 1 to 103=100010^3 = 1000.

3
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Perfect 4th Powers

The numbers resulting from raising integers to the fourth power, listed from 14=11^4 = 1 to 54=6255^4 = 625.

4
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Powers of 2

The sequence of numbers obtained by raising base 22 to consecutive positive integer exponents, listed from 21=22^1 = 2 to 210=10242^{10} = 1024.

5
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Powers of 3

The sequence of numbers obtained by raising base 33 to consecutive positive integer exponents, listed from 31=33^1 = 3 to 36=7293^6 = 729.

6
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121^2

1

7
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222^2

4

8
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323^2

9

9
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424^2

16

10
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525^2

25

11
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626^2

36

12
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727^2

49

13
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828^2

64

14
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929^2

81

15
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10210^2

100

16
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11211^2

121

17
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12212^2

144

18
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13213^2

169

19
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14214^2

196

20
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15215^2

225

21
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131^3

1

22
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232^3

8

23
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333^3

27

24
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434^3

64

25
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535^3

125

26
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636^3

216

27
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737^3

343

28
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838^3

512

29
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939^3

729

30
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10310^3

1000

31
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141^4

1

32
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242^4

16

33
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343^4

81

34
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444^4

256

35
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545^4

625

36
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212^1

2

37
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252^5

32

38
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262^6

64

39
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272^7

128

40
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282^8

256

41
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292^9

512

42
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2102^{10}

1024

43
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313^1

3

44
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353^5

243

45
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363^6

729