Exponents Flashcards

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1
Q

1^n

A

1

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2
Q

0^n

A

0

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3
Q

A negative number to a even power

A

positive

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4
Q

A negative number to an odd power

A

negative

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5
Q

2^1

A

2

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6
Q

2^2

A

4

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7
Q

2^3

A

8

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8
Q

2^4

A

16

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9
Q

2^5

A

32

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10
Q

2^6

A

64

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11
Q

2^7

A

128

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12
Q

2^8

A

256

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13
Q

2^9

A

512

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14
Q

3^2

A

9

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15
Q

3^3

A

27

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16
Q

3^4

A

81

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17
Q

4^2

A

16

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18
Q

4^3

A

64

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19
Q

4^4

A

256

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20
Q

5^2

A

25

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21
Q

5^3

A

125

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22
Q

5^4

A

625

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23
Q

6^3

A

216

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24
Q

7^3

A

343

25
Q

8^3

A

512

26
Q

9^3

A

729

27
Q

9^2

A

81

28
Q

9^3

A

729

29
Q

9^4

A

6561

30
Q

6^2

A

36

31
Q

6^3

A

216

32
Q

6^4

A

1296

33
Q

7^2

A

49

34
Q

7^3

A

343

35
Q

7^4

A

2401

36
Q

8^2

A

64

37
Q

8^3

A

512

38
Q

8^4

A

4096

39
Q

Positive base < 1 gets ____ as exponents increase

A

smaller aka fractions

40
Q

Negative base < -1 gets _____ as exponents increase

A

absolute values get bigger but + and - signs alternate (whole numbers)

41
Q

Negative base between -1 and 0 absolute values_____

A

are getting smaller but + and - signs are alternating aka fractions

42
Q

(9^5)(9^3) =

A

9^8

43
Q

12^7/12^3

A

12^4

44
Q

9^0

A

1

45
Q

(6^5)^3

A

6^15

46
Q

b^-n=

A

1/b^n

47
Q

a negative exponent on a fraction is the ?

A

reciprocal to the positive power

48
Q

p/q^-n =

A

q/p^n

49
Q

when we move powers in a fraction from numerator to denominator exponents ____

A

switch from negative to positive

50
Q

(ab)^n =

A

(a^n)(b^n)

51
Q

(a/b)^n =

A

a^n/b^n

52
Q

we can simplify the sum of difference of powers by?

A

factoring out the smallest power

53
Q

2^3 x 2^5

A

2^8 (add exponents)

54
Q

5^4 / 5^2

A

5^2 (subtract exponents)

55
Q

2^3 x 3^3

A

6^3 (multiply bases)

56
Q

(3^4)^3

A

3^12 (multiply exponents)

57
Q

5^-3

A

1/5^3

58
Q

8^2/3

A

3 square root ^2 (numerator of fractional exponent = power and denominator of fractional exponent = root