## Bookworm14 one year ago I am so lost right now, can someone please help? This is properties of exponents 10th grade level. will post it below -->

1. Bookworm14

$(\frac{ 2yx^2*-y^-1z^0 }{ x^-3*2y^0z^-1 })~~ ^3$

2. Bookworm14

I got -y^3 x^15 z^3 , but i tried to used an online slover to check and it got something different so now im confused

3. jim_thompson5910

Is this the problem? $\Large \left(\frac{2yx^2*-y^{-1}z^0}{x^{-3}*2y^0z^{-1}}\right)^3$

4. Bookworm14

Yes

5. jim_thompson5910

I'm not getting the same answer you got

6. Bookworm14

I just got all mixed up, i know how to solve these but i saw this and my mind went blank

7. jim_thompson5910

notice how we have a 'y' term without an exponent up top that's the same as y^1 what is y^1 times y^(-1) equal to?

8. Bookworm14

y^0 or y^-1 I don't know if i should add them or multiply

9. jim_thompson5910

add $\Large y^1*y^{-1} = y^{1+(-1)} = y^0$

10. jim_thompson5910

anything to the zeroth power is 1, so y^0 = 1

11. Bookworm14

ok so that elliminates y

12. jim_thompson5910

yes so y is nowhere in the final answer

13. jim_thompson5910

the same would be said about z since z^0 = 1 up top but there is a z^(-1) down below that changes things

14. Bookworm14

sorry if i have any late replies, i am making sure i right this down

15. jim_thompson5910

that's fine

16. jim_thompson5910

I also forgot about the y^0 down below, that also turns into 1 but I'm sure you see that by now

17. Bookworm14

yes, i got that part :)

18. jim_thompson5910

ok great

19. Bookworm14

ok right now i have x^6 / x^-9 z^-3 ? am i close

20. jim_thompson5910

good. I would have taken another route: simplify the inner stuff before multiplying the exponents. Either way works though.

21. jim_thompson5910

now simplify $\Large \frac{x^6}{x^{-9}z^{-3}}$

22. Bookworm14

x^15 z^3 ?

23. jim_thompson5910

correct

24. jim_thompson5910

oh one last thing though. There's a negative in there. When you cube -1 you get -1 so the result is negative

25. Bookworm14

the online solver somehow got -x^6 z^3 / x^-9 , is my simplified answer still correct?

26. jim_thompson5910

well the solver didn't fully simplify

27. jim_thompson5910

the x^6 over x^(-9) simplifies to x^15

28. Bookworm14

i used cymath.com (because it shows me steps) and ohhhh okay

29. jim_thompson5910

so the final answer that I'd go for is $\Large -x^{15}z^3$ since that's the most simplified in my view

30. Bookworm14

okay :) so i was almost right in the beginning i just included "y" which wasn't supposed to exist lol thank you!

31. jim_thompson5910

you're welcome, you did really good on it