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Janu16

  • one year ago

Rewrite in simplest radical form 1/x^-3/6. Please show each step.

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  1. Janu16
    • one year ago
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    @DanJS

  2. DanJS
    • one year ago
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    is -3/6 the power, or is x divided by 6

  3. Janu16
    • one year ago
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    |dw:1438035063443:dw|

  4. DanJS
    • one year ago
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    right

  5. Janu16
    • one year ago
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    i drew it up there. can you see it?

  6. DanJS
    • one year ago
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    yes

  7. Janu16
    • one year ago
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    so i have to solve this and show steps

  8. Janu16
    • one year ago
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    actually simplify

  9. DanJS
    • one year ago
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    First, apply this property \[\frac{ 1 }{ x^{-a} } = x^a\]

  10. DanJS
    • one year ago
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    when you change sides of a fraction, change sign on power

  11. Janu16
    • one year ago
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    ya i know thaat you change signs but how do you write it

  12. DanJS
    • one year ago
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    |dw:1438035282173:dw|

  13. DanJS
    • one year ago
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    good

  14. Janu16
    • one year ago
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    than you simplify so you will have 1/2 right?

  15. DanJS
    • one year ago
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    yes

  16. Janu16
    • one year ago
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    so do you just put in radical form?

  17. DanJS
    • one year ago
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    then remember \[\sqrt[n]{x} = x ^{1 / n}\] The nth root is the same as raised to the 1/n power

  18. Janu16
    • one year ago
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    so final answer will look like this?

  19. Janu16
    • one year ago
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    |dw:1438035516073:dw|

  20. DanJS
    • one year ago
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    yes, square root of x

  21. DanJS
    • one year ago
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    write down those two exponent properties..

  22. Janu16
    • one year ago
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    1 and 2?

  23. DanJS
    • one year ago
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    the two general equations i typed above

  24. DanJS
    • one year ago
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    that what you need to know

  25. DanJS
    • one year ago
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    There are a few more, but ill help if needed

  26. Janu16
    • one year ago
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    for the steps?

  27. DanJS
    • one year ago
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    \[\sqrt[n]{x} = x ^{1 / n}\] \[\frac{ 1 }{ x^{-a} } = x^a\]

  28. Janu16
    • one year ago
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    |dw:1438035669537:dw| would this be all the steps?

  29. DanJS
    • one year ago
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    |dw:1438035799954:dw|

  30. Janu16
    • one year ago
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    how do you write taht x^1/2can you draw it

  31. Janu16
    • one year ago
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    |dw:1438035933462:dw|

  32. DanJS
    • one year ago
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    you have x to the 3/6 poer, just reduce the poer

  33. DanJS
    • one year ago
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    yep

  34. DanJS
    • one year ago
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    Here, scroll to the "Laws of Exponents" part , those are the general rules to get a feel for. http://www.mathsisfun.com/algebra/exponent-laws.html

  35. Janu16
    • one year ago
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    ohok thanks i will look at it

  36. Janu16
    • one year ago
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    |dw:1438036067245:dw| so the final answer

  37. DanJS
    • one year ago
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    yes

  38. Janu16
    • one year ago
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    ok thanx

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