Exponents, Radicals, and Algebraic Identities

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Vocabulary practice cards evaluating numerical expressions with exponents and roots, solving basic exponential/power equations, and applying algebraic rules of exponents and imaginary numbers.

Last updated 10:46 PM on 9/4/26
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60 Terms

1
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−24-2^4

−16-16

2
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(−2)4(-2)^4

1616

3
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−23-2^3

−8-8

4
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(−4)2(-4)^2

1616

5
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4−24^{-2}

116\frac{1}{16}

6
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−4−2-4^{-2}

−116-\frac{1}{16}

7
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(−4)−2(-4)^{-2}

116\frac{1}{16}

8
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−(−4)−2-(-4)^{-2}

−116-\frac{1}{16}

9
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−43-4^3

−64-64

10
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−4−3-4^{-3}

−164-\frac{1}{64}

11
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(−4)−3(-4)^{-3}

−164-\frac{1}{64}

12
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161216^{\frac{1}{2}}

44

13
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16−1216^{-\frac{1}{2}}

14\frac{1}{4}

14
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163216^{\frac{3}{2}}

6464

15
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16−3216^{-\frac{3}{2}}

164\frac{1}{64}

16
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161416^{\frac{1}{4}}

22

17
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163416^{\frac{3}{4}}

88

18
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271327^{\frac{1}{3}}

33

19
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27−1327^{-\frac{1}{3}}

13\frac{1}{3}

20
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−2713-27^{\frac{1}{3}}

−3-3

21
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(−27)13(-27)^{\frac{1}{3}}

−3-3

22
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272327^{\frac{2}{3}}

99

23
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−2723-27^{\frac{2}{3}}

−9-9

24
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(−27)23(-27)^{\frac{2}{3}}

99

25
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−(−27)23-(-27)^{\frac{2}{3}}

−9-9

26
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−27−13-27^{-\frac{1}{3}}

−13-\frac{1}{3}

27
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(−27)−13(-27)^{-\frac{1}{3}}

−13-\frac{1}{3}

28
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27−2327^{-\frac{2}{3}}

19\frac{1}{9}

29
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−27−23-27^{-\frac{2}{3}}

−19-\frac{1}{9}

30
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(−27)−23(-27)^{-\frac{2}{3}}

19\frac{1}{9}

31
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321532^{\frac{1}{5}}

22

32
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324532^{\frac{4}{5}}

1616

33
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32−4532^{-\frac{4}{5}}

116\frac{1}{16}

34
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−3245-32^{\frac{4}{5}}

−16-16

35
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(−32)45(-32)^{\frac{4}{5}}

1616

36
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(−32)−45(-32)^{-\frac{4}{5}}

116\frac{1}{16}

37
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641364^{\frac{1}{3}}

44

38
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642364^{\frac{2}{3}}

1616

39
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64−1364^{-\frac{1}{3}}

14\frac{1}{4}

40
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641664^{\frac{1}{6}}

22

41
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64−1664^{-\frac{1}{6}}

12\frac{1}{2}

42
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Solution to x2=16x^2 = 16

x=±4x = \pm 4

43
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Solution to x2=−4x^2 = -4

x=±2ix = \pm 2i

44
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Solution to x3=64x^3 = 64

x=4x = 4

45
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Solution to x3=−64x^3 = -64

x=−4x = -4

46
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XY−1XY^{-1}

XY\frac{X}{Y}

47
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X−1YX^{-1}Y

YX\frac{Y}{X}

48
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XY−1\frac{X}{Y^{-1}}

XYXY

49
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X−1Y\frac{X^{-1}}{Y}

1XY\frac{1}{XY}

50
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(XY)−1\left(\frac{X}{Y}\right)^{-1}

YX\frac{Y}{X}

51
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(XY)−2\left(\frac{X}{Y}\right)^{-2}

Y2X2\frac{Y^2}{X^2}

52
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(XY)−1(XY)^{-1}

1XY\frac{1}{XY}

53
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010^1

00

54
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101^0

11

55
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01\frac{0}{1}

00

56
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10\frac{1}{0}

∅\emptyset

57
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Imaginary unit ii

−1\sqrt{-1}

58
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i2i^2

−1-1

59
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i3i^3

−i-i

60
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i4i^4

11