Question

Simplify the following expression, and rewrite it in an equivalent form with positive exponents. -18x^2y^4/6x^7y^2

Answer 1

\[-18x^2y^4/6x^7y^2\]

Answer 2

is this what you mean

Answer 3

YES

Answer 4

Sorry for the caps

Answer 5

ok great

think of it like this

\[-18x*x*y*y*y*y/6x*x*x*x*x*x*x*y*y\]

Answer 6

I know it looks long but now think about canceling

Answer 7

okay so when dividing you subtract then right

Answer 8

yes if you had X^3/x^2 you would have x^3-2

Answer 9

okay was just trying to figure out how the division part worked for exponents so now I divide -18 from 6 to get 3 right then subtract the like exponents

Answer 10

yes! but you have one little error. do you see it?

Answer 11

the negative sign

Answer 12

yep! good work!

Answer 13

well from the way the question was worded it said to rewrite with positive exponents

Answer 14

ah yes the exponent means the power. as in x^5 5 is the exponinet

-3 is called the coeffecient in you problem

Answer 15

okay so I was right when I said the problem I got -3x^5y^2 but it doesn't look right to me

Answer 16

I see what you mean the simplied version will be-3x^-5y^2

Answer 17

like this

\[-3y^2 / x^5\]

Answer 18

okay is that the way it is supposed to look

Answer 19

I wasn't sure

Answer 20

yep! simpfied here means that you did all of the division you could

Answer 21

remember that x^-3 = 1/(x^3) for example

Answer 22

one other question when you multiply 2 negatives you get 2 positives correct?

Answer 23

okay that's right

Answer 24

Negative * negative = postive

Answer 25

okay thanks

Answer 26

np!

Answer 27

Thank you again for helping me to answer my problem

Answer 28

I gave you a medal and fanned you also

Answer 29

No problem anytime!