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Destinyyyy

  • one year ago

Solve the equation with rational exponents.

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  1. Destinyyyy
    • one year ago
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    (x-6) ^3/2 =27

  2. Destinyyyy
    • one year ago
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    I dont remember how to do this..

  3. IrishBoy123
    • one year ago
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    \[\large (x-6) ^{\frac{3}{2}} =27\] yes?

  4. Destinyyyy
    • one year ago
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    Yeah

  5. IrishBoy123
    • one year ago
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    because \(\large n^\frac{a}{b} = n^{\frac{a}{1}\times \frac{1}{b}} = (n^a)^{\frac{1}{b}} = (n^{\frac{1}{b}})^a\)

  6. Destinyyyy
    • one year ago
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    Um okay?

  7. IrishBoy123
    • one year ago
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    or if its simpler https://gyazo.com/dfe8c6b9853179633b8a8fe3a0bcb746

  8. IrishBoy123
    • one year ago
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    so in \[\frac{3}{2}\] you have a cube and a square root you want to undo them both, but one by one

  9. IrishBoy123
    • one year ago
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    \[n^{3/2} = (n^{1/2})^3 = (n^3)^{1/2}\]

  10. IrishBoy123
    • one year ago
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    and here \(n = x-6\) !!

  11. Destinyyyy
    • one year ago
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    Um all im really understanding is that n= x-6 ... Except I dont get the point of n

  12. IrishBoy123
    • one year ago
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    it is an attempt to simplify but it might just be doing the opposite you know that \[n^{1/2} = \sqrt{n}\] yes?

  13. Destinyyyy
    • one year ago
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    Yes

  14. IrishBoy123
    • one year ago
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    and \[n^{3/2} = (n^{1/2})^3\] yes

  15. Destinyyyy
    • one year ago
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    That I dont remember

  16. Destinyyyy
    • one year ago
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    I thought im suppose to flip 3/2 to 2/3 to cancel it out and put 2/3 by the 27...

  17. IrishBoy123
    • one year ago
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    if that's how you see it, go for it. it is how you solve it.

  18. Destinyyyy
    • one year ago
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    Okay. But I dont remember what to do after that

  19. IrishBoy123
    • one year ago
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    well, that is what i am trying to get at. you now have \[x - 6 = 27^{\frac{2}{3}}\] but do you know what that 2/3 actually means?

  20. Destinyyyy
    • one year ago
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    Um its like the reciprocal of 3/2

  21. IrishBoy123
    • one year ago
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    \[n^{2/3} = (n^2)^{1/3} = \sqrt[3]{n^2}\] and \[n^{2/3} = (n^{1/3})^{2} = (\sqrt[3]{n})^2\]

  22. Destinyyyy
    • one year ago
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    Okay so your saying... x-6= ^3 square root 27 ^2

  23. IrishBoy123
    • one year ago
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    sorry, don't really get that notation, just feel free to post what you think the answer is

  24. Destinyyyy
    • one year ago
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    |dw:1440786073328:dw|

  25. IrishBoy123
    • one year ago
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    looks good

  26. Destinyyyy
    • one year ago
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    Okay.. Im stuck there

  27. IrishBoy123
    • one year ago
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    https://www.google.co.uk/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=calculator

  28. IrishBoy123
    • one year ago
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    |dw:1440786180440:dw|

  29. Destinyyyy
    • one year ago
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    ?? Nothing is there.. Just a 0

  30. IrishBoy123
    • one year ago
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    |dw:1440786213763:dw|

  31. Destinyyyy
    • one year ago
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    729

  32. IrishBoy123
    • one year ago
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    yes, now cube root of that

  33. Destinyyyy
    • one year ago
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    Um?

  34. IrishBoy123
    • one year ago
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    https://gyazo.com/3110dd44529fb9f72a87b50ae9e8e75c

  35. IrishBoy123
    • one year ago
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    https://gyazo.com/cacad2370ac356783aa9f6f37bf6af73

  36. IrishBoy123
    • one year ago
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    if you struggle with the idea of a cube root, i would strongly advise you go back over that before trying to solve these

  37. IrishBoy123
    • one year ago
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    did you see how i made the calculator give us the cube root? \[\large 729^{(1 \ divided \ by\ 3)}\]

  38. Destinyyyy
    • one year ago
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    Yeah but that doesnt help me.. I dont know how to do that on my calculator. And I dont remember doing that when I was solving this last term.

  39. IrishBoy123
    • one year ago
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    you may see that doing this the other way round is easier |dw:1440786735885:dw| recommend: A) look at these https://gyazo.com/827f7854b216732ea2587538a9759ba0 the 2 fractional exponents at the bottom, that's basically what we are doing B) play with your calculator ----- now we know we are looking for 9 so can you finish off for x?

  40. Destinyyyy
    • one year ago
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    So. x-6=9 ?

  41. IrishBoy123
    • one year ago
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    yes

  42. Destinyyyy
    • one year ago
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    Okay... Ive been using this as an example. https://www.youtube.com/watch?v=6Y-3mQkqEOA

  43. Destinyyyy
    • one year ago
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    x=15

  44. IrishBoy123
    • one year ago
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    yes

  45. Destinyyyy
    • one year ago
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    Okay. Im still confused but okay. Thanks

  46. IrishBoy123
    • one year ago
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    really not sure that video is any good, it's all over the place. maybe go to the math is fun thing i linked and they have worked examples too. try to understand the exponents rules and how they work. get a feel for it rather than just flipping rational exponents over the place. good luck!

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