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Flashcards in Powers and Roots Deck (41)
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1
Q

2^3

A

8

2
Q

2^4

A

16

3
Q

2^5

A

32

4
Q

2^6

A

64

5
Q

2^7

A

128

6
Q

2^8

A

256

7
Q

2^9

A

512

8
Q

3^4

A

81

9
Q

4^4

A

256

10
Q

5^4

A

625

11
Q

6^3

A

216

12
Q

7^3

A

343

13
Q

8^3

A

512

14
Q

9^3

A

729

15
Q

Positive base less than one

A

Gets smaller with increasing exponential growth

16
Q

Negative base less than -1 (-3)

A

Absolute powers getting bigger but signs are alternating

17
Q

Number between 0 and 1

A

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

18
Q

-n^even exponent

A

Even number

19
Q

No exponent law for

A

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

20
Q

(AB)^n

A

A^n * b^n

Same for division

21
Q

(A+B)^n

A

Not equal to A^n +B^n

22
Q

If two bases are equal

A

Exponents can be solved for

23
Q

What is the units digit?

A

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

24
Q

If radical sign is given

A

Positive square root

25
Q

Square root of 2

A

1.4

26
Q

Square root of 3

A

1.7

27
Q

Square root of 5

A

2.2

28
Q

If b is between 0 and 1 then

A

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

29
Q

Higher order closer result to 1

A

Normal numbers get smaller closer to 1

Numbers between 0 and 1 get bigger and move to 1

30
Q

14 squared

A

196

31
Q

15squared

A

225

32
Q

Can you dist an exponent over number radical composition

A

Yes; if raised to 4= 2^^2

33
Q

Even power

A

Perfect square

34
Q

Extraneous roots

A

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

35
Q

radical

A

isolate and then square

36
Q

square root of something always

A

Positive

37
Q

2^(a/b)

A

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

38
Q

We can take negative roots only of

A

Odd numbers

39
Q

When bases are equal

A

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

40
Q

Expression with a square root

A

opposite number signs

41
Q

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

A

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