Question

Identify the Exponent Law shown in the example below.

(ab)3 = a3b3

Power of a Product

Product of Powers

Power of a Power

None of the Above

Answer 1

(...)^3 is a power

a*b is a product

Answer 2

combine the two, in the right order, to say that (a*b)^3 is a power of a product

Answer 3

thank you so much :)

Answer 4

you're welcome

Answer 5

can you help me with more or do I have to close this one and put another question up?

Answer 6

I don't mind either way

Answer 7

do what works best for you

Answer 8

(5x4y2z2)(3x4y3z5).

15x16y6z10

15x8y5z7

8x8y5z7

8x16y6z10
wouldn't it be c?

Answer 9

5*3 isn't 8, it's 15

Answer 10

only the exponents add, the coefficients multiply

Answer 11

so B

Answer 12

No its A

Answer 13

exponent for x: 4+4 = 8

exponent for y: 2+3 = 5

exponent for z: 2+5 = 7

Answer 14

hmm decisions decisions...A or B

Answer 15

its B

Answer 16

good

Answer 17

do you do the same thing for this?
Choose the correct simplification of the expression (2ab5)3.

8ab15

8a3b8

5a3b15

8a3b15

Answer 18

you would use the rule given at the top of the page

Answer 19

(a*b)^c = a^c * b^c

Answer 20

so this means that

(2ab^5)^3 = 2^3 * a^3 * (b^5)^3 = ???

Answer 21

so D...?

Answer 22

perfect

Answer 23

you're a pro at this already

Answer 24

thank you :)

Answer 25

sure thing

Answer 26

im not sure about this one
Choose the correct simplification of the expression (3xy4)2(y2)3.

6x2y14

9x2y14

9x3y11

6x3y11

Answer 27

simplify (3xy^4)^2 first and tell me what you get

Answer 28

7xy8?

Answer 29

hmm no unfortunately

Answer 30

(3xy^4)^2 = 3^2 * x^2 * (y^4)^2

(3xy^4)^2 = 9 * x^2 * y^8

Answer 31

what do you get when you simplify (y^2)^3

Answer 32

y16

Answer 33

y^6 so you are close

Answer 34

(3xy^4)^2(y2)^3 becomes 9x^2*y^8*y^6

now simplify 9x^2*y^8*y^6

Answer 35

18xy16y12.. I'm doing this wrong.. :/

Answer 36

all you do at this point is add the y exponents

Answer 37

8+6 = 14

Answer 38

so 18xy14

Answer 39

so the final answer is \[\large 9x^{2}y^{14}\]

Answer 40

idk how you're getting 18

Answer 41

idk either lol

Answer 42

hmm

Answer 43

well that 2 is an exponent and you're not multiplying it by 9 to get 18

Answer 44

so what do you do with it?

Answer 45

you just leave the 9 as it is

Answer 46

okay thank you

Answer 47

np

Answer 48

what about this? is it D or B?
Choose the correct simplification of the expression (−13g2h5k2)0.

1

0

13g2h5k2

−13

Answer 49

0 is the exponent right?

Answer 50

yes

Answer 51

anything to the 0th power (except 0 itself) is always 1

Answer 52

ex: 2^0 = 1

9^0 = 1

115^0 = 1

you get the idea

Answer 53

so if x is not zero, then x^0 = 1

Answer 54

ohh okay

Answer 55

so you could have some really long and really ridiculous expression raised to the 0th power....and it would all boil down to 1

Answer 56

I don't feel like doing that lol

Answer 57

yeah just know that (−13g^2h^5k^2)^0 = 1 and you're good to go

Answer 58

thank you!

Answer 59

yw glad to be of help