Question

math q on behalf of nicole

Answer 1

@Nicole

Answer 2

thank you

Answer 3

any ideas? as a hint, if you want to move something from the numerator to the denominator (or from the denominator to the numerator) you need to multiply the exponent by -1

Answer 4

so 4 *-1

Answer 5

thats -4

Answer 6

yes, so if you want to move x^4 to the numerator you would write x^(-4) in the numerator

Answer 7

A and B contains that

Answer 8

good

B works because they applied the same logic to 5 and 6

so A+B are your solutions

Answer 9

got it

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Answer 10

any ideas? when multiplying the same base over and over, add the exponents

Answer 11

all the exponents added to each other is -2

Answer 12

so D?

Answer 13

the exponent is applied to m

so m^(-2) should be in your solution somewhere

Answer 14

A? im thinking

Answer 15

m^(-2) is equivalent to 1/m^2

Answer 16

wouldnt it be A since the numerator is 1?

Answer 17

and its negative

Answer 18

pay attention to the exponent on m

A has 1/m^90 not 1/m^2

Answer 19

the exponent on m must be positive 2 if its' in the denominator or negative 2 if its in the numerator, since we concluded m^(-2) as part of the solution

Answer 20

ohh so C

Answer 21

yes

Answer 22

http://prntscr.com/li2pkc

Answer 23

any ideas? remember when you raise an exponent to another exponent, multiply the exponents

so it ends up being 4^(-3) * x^(-2*3) = ? which answer choice is mathematically equivalent?

Answer 24

D

Answer 25

good

Answer 26

http://prntscr.com/li2rbj

Answer 27

any ideas? when dividing the same base, subtract the exponents

so start with the 9/3 part first, then the x^8/x^4 part

Answer 28

so 8-4?

Answer 29

which is 4

Answer 30

good, so 3x^4 = your sol'n

Answer 31

so B

Answer 32

yup

Answer 33

http://prntscr.com/li2ryz

Answer 34

generally in scientific notation the n part has to be a decimal or whole # not a fraction
p has to be an integer

that being said any ideas?

Answer 35

D might be one

Answer 36

good

and if p is an integer, then 10 is naturally a possibility

so C+D are my best bet

Answer 37

okayy
http://prntscr.com/li2sgp

Answer 38

any ideas?

n * 10^(x)

the n part has to be between 1-10, and with that being said, what do you think is the solution?

Answer 39

(or between -1 and -10)

Answer 40

so its not B

Answer 41

which makes the answer b LOL

Answer 42

remember it's asking for the one ~not~ in scientific notationo

so B must be your solution, since the 12.7 part isn't between 1-10

Answer 43

yup

Answer 44

one more after
http://prntscr.com/li2t3b

Answer 45

so basically we need to convert both to the same exponent

we can re-write 1.26*10^(-3) by multiplying the 10^(-3) part by 10^9, and dividing the 1.26 part by 10^9 (so the number still says the same, just with the exponent 10^6 instead of 10^(-3)

Answer 46

so doing this, we get
(0.00000000126 * 10^6) - 7.003*10^6

so after that it's just simple subtraction of

(0.00000000126 - 7.003)*10^6

Answer 47

actually come to think of it you don't need to do the subtraction

Answer 48

its going to be 7 something?

Answer 49

just re-write 1.26*10^(-3) in standard form and see whether it matches up with B or D

Answer 50

http://prntscr.com/li2ule

Answer 51

that is it in standard form^

Answer 52

so basically, we can take 1.26*10^(-3) and move the decimal point 3 places to the left (since we have -3 as the exponent) to get

0.00126
which can only match up with expression D

Answer 53

ohhh okay
last one
http://prntscr.com/li2v9l

Answer 54

any ideas? to multiply 10^3 * 10^7 we add the exponents ( be careful, you are only adding the exponents not the entire expressions together)

Answer 55

3+7= 10

Answer 56

good so your solution must have 10^(3+7) not 10^3 + 10^7 somewhere

Answer 57

A

Answer 58

good

Answer 59

okay thank you!!! i got them all right