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

- anonymous

- jamiebookeater

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- anonymous

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

- anonymous

is this what you mean

- anonymous

YES

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## More answers

- anonymous

Sorry for the caps

- anonymous

ok great
think of it like this
\[-18x*x*y*y*y*y/6x*x*x*x*x*x*x*y*y\]

- anonymous

I know it looks long but now think about canceling

- anonymous

okay so when dividing you subtract then right

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

the negative sign

- anonymous

yep! good work!

- anonymous

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

- anonymous

ah yes the exponent means the power. as in x^5 5 is the exponinet
-3 is called the coeffecient in you problem

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

okay is that the way it is supposed to look

- anonymous

I wasn't sure

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

okay that's right

- anonymous

Negative * negative = postive

- anonymous

okay thanks

- anonymous

np!

- anonymous

Thank you again for helping me to answer my problem

- anonymous

I gave you a medal and fanned you also

- anonymous

No problem anytime!

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