Powers and Roots

Question 1

2^3

Answer 1

8

Question 2

2^4

Answer 2

16

Question 3

2^5

Answer 3

32

Question 4

2^6

Answer 4

64

Question 5

2^7

Answer 5

128

Question 6

2^8

Answer 6

256

Question 7

2^9

Answer 7

512

Question 8

3^4

Answer 8

81

Question 9

4^4

Answer 9

256

Question 10

5^4

Answer 10

625

Question 11

6^3

Answer 11

216

Question 12

7^3

Answer 12

343

Question 13

8^3

Answer 13

512

Question 14

9^3

Answer 14

729

Question 15

Positive base less than one

Answer 15

Gets smaller with increasing exponential growth

Question 16

Negative base less than -1 (-3)

Answer 16

Absolute powers getting bigger but signs are alternating

Question 17

Number between 0 and 1

Answer 17

Values getting smaller but signs are alternating and we are APPROACHING 0

Question 18

-n^even exponent

Answer 18

Even number

Question 19

No exponent law for

Answer 19

The sum or difference of powers so a raised to something plus b raised to something

Question 20

(AB)^n

Answer 20

A^n * b^n

Same for division

Question 21

(A+B)^n

Answer 21

Not equal to A^n +B^n

Question 22

If two bases are equal

Answer 22

Exponents can be solved for

Question 23

What is the units digit?

Answer 23

Repeating pattern include the first number write from the first number

Period of the pattern (usually 4) pattern

7,9,3,1 4th is 1 so 120th is 1

Question 24

If radical sign is given

Answer 24

Positive square root

Question 25

Square root of 2

Answer 25

1.4

Question 26

Square root of 3

Answer 26

1.7

Question 27

Square root of 5

Answer 27

2.2

Question 28

If b is between 0 and 1 then

Answer 28

B is greater than b squared and the square root of b is greater than 6

Question 29

Higher order closer result to 1

Answer 29

Normal numbers get smaller closer to 1

Numbers between 0 and 1 get bigger and move to 1

Question 30

14 squared

Answer 30

196

Question 31

15squared

Answer 31

225

Question 32

Can you dist an exponent over number radical composition

Answer 32

Yes; if raised to 4= 2^^2

Question 33

Even power

Answer 33

Perfect square

Question 34

Extraneous roots

Answer 34

Negative numbers; don’t always give roots that will work; **

Question 35

radical

Answer 35

isolate and then square

Question 36

square root of something always

Answer 36

Positive

Question 37

2^(a/b)

Answer 37

(2^a)root b or( rootbof 2)*a

Question 38

We can take negative roots only of

Answer 38

Odd numbers

Question 39

When bases are equal

Answer 39

exponent are equal; can write 16 and 32 as powers of 2

Question 40

Expression with a square root

Answer 40

opposite number signs

Question 41

If vsquared= 2ad; if v triples and a doubles then d is what*; video working with formula

Answer 41

Set all equal to 1 v=2=a=d=1; now when v triples its 3 and when a doubles its two so the number is vsquared over 2a= 9 over 2; 2=1 because its a ratio so doesnt really matter; so what is d multipled by, isolate d