Exponents (6) Flashcards

1
Q

x^a * x^b =

A

x^a+b

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2
Q

(x^a)^b

A

x^ab

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3
Q

x^a / x^b

A

x^ a-b

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4
Q

x^-a

A

1 / x^a

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5
Q

x^0

A

1

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6
Q

x

A

x^1

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7
Q

x^a = x^b

A

a = b

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8
Q

11 ^2

A

121

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9
Q

13^2

A

169

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10
Q

14^2

A

196

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11
Q

15^2

A

225

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12
Q

2^3

A

8

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13
Q

2^4

A

16

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14
Q

2^5

A

32

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15
Q

2^6

A

64

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16
Q

2^7

A

128

17
Q

2^8

A

256

18
Q

2^9

A

512

19
Q

2^10

A

1024

20
Q

3^3

A

27

21
Q

3^4

A

81

22
Q

3^5

A

243

23
Q

4^3

A

64

24
Q

4^4

A

256

25
Q

4^5

A

1024

26
Q

5^3

A

125

27
Q

5^4

A

625

28
Q

5^5

A

3125

29
Q

When working with exponents, main action item is to…

A

Find common bases

30
Q

Look for patterns by…

A

Testing small numbers

31
Q

2 ^ x (2^2 -1) =

A

2 ^ x+2 - 2^x. NOT 4^2x

32
Q

6^5

A

2^5 x 3^5

33
Q

12^2…

A

4^2 x 3^2

34
Q

The only way for two terms that are prime numbers to ever be equal to eachother is…

A

by setting each exponent equal to 0, so equation is 1=1