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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 -->

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  1. Bookworm14
    • one year ago
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    \[(\frac{ 2yx^2*-y^-1z^0 }{ x^-3*2y^0z^-1 })~~ ^3\]

  2. Bookworm14
    • one year ago
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    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
    • one year ago
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    Is this the problem? \[\Large \left(\frac{2yx^2*-y^{-1}z^0}{x^{-3}*2y^0z^{-1}}\right)^3\]

  4. Bookworm14
    • one year ago
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    Yes

  5. jim_thompson5910
    • one year ago
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    I'm not getting the same answer you got

  6. Bookworm14
    • one year ago
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    I just got all mixed up, i know how to solve these but i saw this and my mind went blank

  7. jim_thompson5910
    • one year ago
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    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
    • one year ago
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    y^0 or y^-1 I don't know if i should add them or multiply

  9. jim_thompson5910
    • one year ago
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    add \[\Large y^1*y^{-1} = y^{1+(-1)} = y^0\]

  10. jim_thompson5910
    • one year ago
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    anything to the zeroth power is 1, so y^0 = 1

  11. Bookworm14
    • one year ago
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    ok so that elliminates y

  12. jim_thompson5910
    • one year ago
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    yes so y is nowhere in the final answer

  13. jim_thompson5910
    • one year ago
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    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
    • one year ago
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    sorry if i have any late replies, i am making sure i right this down

  15. jim_thompson5910
    • one year ago
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    that's fine

  16. jim_thompson5910
    • one year ago
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    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
    • one year ago
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    yes, i got that part :)

  18. jim_thompson5910
    • one year ago
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    ok great

  19. Bookworm14
    • one year ago
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    ok right now i have x^6 / x^-9 z^-3 ? am i close

  20. jim_thompson5910
    • one year ago
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    good. I would have taken another route: simplify the inner stuff before multiplying the exponents. Either way works though.

  21. jim_thompson5910
    • one year ago
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    now simplify \[\Large \frac{x^6}{x^{-9}z^{-3}}\]

  22. Bookworm14
    • one year ago
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    x^15 z^3 ?

  23. jim_thompson5910
    • one year ago
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    correct

  24. jim_thompson5910
    • one year ago
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    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
    • one year ago
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    the online solver somehow got -x^6 z^3 / x^-9 , is my simplified answer still correct?

  26. jim_thompson5910
    • one year ago
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    well the solver didn't fully simplify

  27. jim_thompson5910
    • one year ago
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    the x^6 over x^(-9) simplifies to x^15

  28. Bookworm14
    • one year ago
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    i used cymath.com (because it shows me steps) and ohhhh okay

  29. jim_thompson5910
    • one year ago
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    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
    • one year ago
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    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
    • one year ago
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    you're welcome, you did really good on it

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