Exponents and Roots

Question 1

What does b^n mean?

Answer 1

n factors of b multiplied together

Question 2

What is 1 to any power?

Answer 2

1

Question 3

What is 0 to any positive power?

Answer 3

0

Question 4

What sign is a negative to an even power?

Answer 4

Positive

Question 5

What sign is a negative number to an odd power?

Answer 5

Negative

Question 6

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

Answer 6

No

Question 7

What is 2^3?

Answer 7

8

Question 8

What is 2^4?

Answer 8

16

Question 9

What is 2^5?

Answer 9

32

Question 10

What is 2^6?

Answer 10

64

Question 11

What is 2^7?

Answer 11

128

Question 12

What is 2^8

Answer 12

256

Question 13

What is 2^9?

Answer 13

512

Question 14

What is 3^3?

Answer 14

27

Question 15

What is 3^4?

Answer 15

81

Question 16

What is 4^3?

Answer 16

64

Question 17

What is 4^4?

Answer 17

256

Question 18

What is 5^3?

Answer 18

125

Question 19

What is 5^4?

Answer 19

625

Question 20

What is 6^3?

Answer 20

216

Question 21

What is 7^3?

Answer 21

343

Question 22

What is 8^3?

Answer 22

512

Question 23

What is 9^3?

Answer 23

729

Question 24

What is the distributive law for multiplication and division?

Answer 24

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

Question 25

Can exponents be distributed over addition and subtraction?

Answer 25

No

Question 26

How can the sum or difference of powers be simplified?

Answer 26

By factoring out the lower power.

Question 27

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

Answer 27

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