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anonymous

  • one year ago

Rewrite in simplest radical form 1/x^-3/6.

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  1. anonymous
    • one year ago
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    \[\frac{ 1 }{ x^{\frac{ -3 }{ 6 }} }\]

  2. welshfella
    • one year ago
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    Hint: 1 / a^-2 = a^2

  3. anonymous
    • one year ago
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    So, x^3/6? Do you just make it positive?

  4. welshfella
    • one year ago
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    yes that is correct now simplify 3/6

  5. welshfella
    • one year ago
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    3/6 = ?

  6. anonymous
    • one year ago
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    How do you simplify that? ?/3?

  7. welshfella
    • one year ago
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    3/6 = 1/2

  8. anonymous
    • one year ago
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    May you explain how you did that, for me.

  9. welshfella
    • one year ago
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    its just making the fraction simpler by dividing top and bottom by a common factor The common factor in this case is 3. so |dw:1442936965530:dw|

  10. anonymous
    • one year ago
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    Oh okay.

  11. welshfella
    • one year ago
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    so now we have x^(1/2) - what is that in radical form?

  12. anonymous
    • one year ago
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    Would it be x^1/2?

  13. welshfella
    • one year ago
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    no that is in exponent form The 1/2 is the exponent. I wrote it in brackets but you dont have to.

  14. welshfella
    • one year ago
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    a radical is a square root , cube root etc

  15. welshfella
    • one year ago
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    |dw:1442937241797:dw|

  16. anonymous
    • one year ago
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    \[\sqrt{x \frac{ 1 }{ 2 }}\] ?

  17. welshfella
    • one year ago
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    now with a square root you dont usually write the 2 |dw:1442937378285:dw|

  18. welshfella
    • one year ago
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    |dw:1442937441996:dw|

  19. anonymous
    • one year ago
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    So the 1/2 just disappears? Sorry for all these dumb questions I just don't understand this.

  20. welshfella
    • one year ago
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    yes

  21. welshfella
    • one year ago
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    |dw:1442937593827:dw|

  22. welshfella
    • one year ago
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    so in this case ur answer is |dw:1442937659225:dw|

  23. welshfella
    • one year ago
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    you can put the 2 before the root sign if you care to but its not necessary. The 2 is understood.

  24. welshfella
    • one year ago
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    follow?

  25. anonymous
    • one year ago
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    Yeah

  26. anonymous
    • one year ago
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    Thank you for helping me understand this better :)

  27. welshfella
    • one year ago
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    If the numerator is greater that 1 then that is a power so |dw:1442937832202:dw|

  28. welshfella
    • one year ago
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    yw

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