## Sinz 3 years ago Simplify the following expression, and rewrite it in an equivalent form with positive exponents. -18x^2y^4/6x^7y^2

1. Walleye

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

2. Walleye

is this what you mean

3. Sinz

YES

4. Sinz

Sorry for the caps

5. Walleye

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

6. Walleye

I know it looks long but now think about canceling

7. Sinz

okay so when dividing you subtract then right

8. Walleye

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

9. Sinz

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

10. Walleye

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

11. Sinz

the negative sign

12. Walleye

yep! good work!

13. Sinz

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

14. Walleye

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

15. Sinz

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

16. Walleye

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

17. Walleye

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

18. Sinz

okay is that the way it is supposed to look

19. Sinz

I wasn't sure

20. Walleye

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

21. Walleye

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

22. Sinz

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

23. Sinz

okay that's right

24. Walleye

Negative * negative = postive

25. Sinz

okay thanks

26. Walleye

np!

27. Sinz

Thank you again for helping me to answer my problem

28. Sinz

I gave you a medal and fanned you also

29. Walleye

No problem anytime!