Question

Choose the correct simplification of the expression (6x2y)2(y2)3.

12x4y8

36x4y5

36x4y8

12x2y7

Question 14 (Multiple Choice Worth 5 points)

[7.02] Choose the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2).

9x3 − 2x − 3

3x3 + 2x + 3

3x3 − 2x − 3

9x3 + 14x + 3

Answer 1

(6x^2)^2 simplifies to what

Answer 2

36x^4

Answer 3

very good

Answer 4

oh sry there was a y in there as well

Answer 5

yes

Answer 6

(6x^2y)^2 turns into 3x^4y^2

Answer 7

how ?

Answer 8

(y^2)^3 = y^6 because you multiply exponents

so

(6x^2y)^2*(y^2)^3

turns into

36x^4y^2*y^6

then you add the exponents for the y terms to get 2+6 = 8

Answer 9

because y is the same as y^1

Answer 10

then you multiply exponents

Answer 11

afterwards

36x^4y^2*y^6

turns into

36x^4y^8

Answer 12

do you see how I got this?

Answer 13

kinda.. how did u simplify(6x^2y)^2

Answer 14

here's another way to see it

Answer 15

(6x^2y)^2

(6x^2y)*(6x^2y)

(6*6)*(x^2*x^2)*(y*y)

36x^4y^2

Answer 16

So (6x^2y)^2 simplifies to 36x^4y^2

Answer 17

oh ok ! got it!

Answer 18

the answer is 36x4y8

Answer 19

thank you

Answer 20

yes it is

Answer 21

yw

Answer 22

oh wait i forgot the other question lol

Answer 23

6x^3 + 3x^3 = ???

Answer 24

9x6?

Answer 25

no you don't add the exponents

Answer 26

just the coefficients

Answer 27

ohhhh so i leave 3?

Answer 28

-8x+6x = ???

Answer 29

yes

Answer 30

-2x

Answer 31

-5 + 2 = ??

Answer 32

-3

Answer 33

put this all together to get

9x^3 - 2x - 3

Answer 34

thank you!!!!

Answer 35

you're welcome