Exponents and Roots Flashcards

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1
Q

What does b^n mean?

A

n factors of b multiplied together

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2
Q

What is 1 to any power?

A

1

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3
Q

What is 0 to any positive power?

A

0

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4
Q

What sign is a negative to an even power?

A

Positive

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5
Q

What sign is a negative number to an odd power?

A

Negative

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6
Q

Does an equation with an expression to an even power equal to a negative have a solution?

A

No

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7
Q

What is 2^3?

A

8

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8
Q

What is 2^4?

A

16

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9
Q

What is 2^5?

A

32

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10
Q

What is 2^6?

A

64

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11
Q

What is 2^7?

A

128

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12
Q

What is 2^8

A

256

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13
Q

What is 2^9?

A

512

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14
Q

What is 3^3?

A

27

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15
Q

What is 3^4?

A

81

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16
Q

What is 4^3?

A

64

17
Q

What is 4^4?

A

256

18
Q

What is 5^3?

A

125

19
Q

What is 5^4?

A

625

20
Q

What is 6^3?

A

216

21
Q

What is 7^3?

A

343

22
Q

What is 8^3?

A

512

23
Q

What is 9^3?

A

729

24
Q

What is the distributive law for multiplication and division?

A

(a*b)^n = a^n +b^n
(a/b)^n = (a^n)/(b^n)

25
Q

Can exponents be distributed over addition and subtraction?

A

No

26
Q

How can the sum or difference of powers be simplified?

A

By factoring out the lower power.

27
Q

If a^n=a^m then what do n and m equal?

A

They are equal to each other (n=m).