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anonymous

  • one year ago

please help Which of the following is equal to square root of the cube root of 2? 2 to the power of 2 over 3 2 to the power of 3 over 2 2 to the power of 1 over 3 2 to the power of 1 over 6

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  1. welshfella
    • one year ago
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    |dw:1437238306035:dw|

  2. anonymous
    • one year ago
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    wait so what answer choice would that be?

  3. welshfella
    • one year ago
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    thats just an example - the above would be the 4th root of x cubed

  4. welshfella
    • one year ago
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    another example might be |dw:1437238633165:dw|

  5. welshfella
    • one year ago
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    that would be the 4th root of the cube root of x

  6. welshfella
    • one year ago
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    (as 1/12 = 1/4 * 1/3)

  7. welshfella
    • one year ago
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    you question is of the last type

  8. anonymous
    • one year ago
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    so would it be the 3rd answer choice?

  9. welshfella
    • one year ago
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    no

  10. welshfella
    • one year ago
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    2 to the power of 1 over 3 is just the cube root

  11. anonymous
    • one year ago
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    oh... im so confused, could you explain how i would solve mine? |dw:1437238875011:dw|

  12. welshfella
    • one year ago
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    |dw:1437238926440:dw|

  13. anonymous
    • one year ago
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    i think i see how you got that

  14. welshfella
    • one year ago
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    |dw:1437238989772:dw|

  15. anonymous
    • one year ago
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    oh! so would it be...|dw:1437239064652:dw|?

  16. welshfella
    • one year ago
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    yep

  17. anonymous
    • one year ago
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    thank you!

  18. welshfella
    • one year ago
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    yw

  19. anonymous
    • one year ago
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    can you help me with one more?

  20. welshfella
    • one year ago
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    i only have 5 minutes but ok

  21. anonymous
    • one year ago
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    |dw:1437239179722:dw| sorry if the drawings confusing

  22. welshfella
    • one year ago
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    |dw:1437239236820:dw|

  23. welshfella
    • one year ago
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    = 2^(1/2 + 1/3)

  24. welshfella
    • one year ago
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    - you add the exponents

  25. anonymous
    • one year ago
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    |dw:1437239307901:dw|

  26. welshfella
    • one year ago
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    - no - you have multiplied 1/2 * 1/3 in this case you add them law of exponents x^a * x^b = x^(a+b)

  27. welshfella
    • one year ago
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    1/2 + 1/3 = 3/6 + 2/6 = ?

  28. anonymous
    • one year ago
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    so...|dw:1437239543505:dw|

  29. welshfella
    • one year ago
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    - no iv shown you how to add them in my last post

  30. welshfella
    • one year ago
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    gotta go

  31. anonymous
    • one year ago
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    ohhh i got it thank you so much

  32. anonymous
    • one year ago
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    \[\sqrt{\sqrt[3]{2}}=\sqrt{2^{\frac{ 1 }{ 3 }}}=(2^{\frac{ 1 }{ 3 }})^\frac{ 1 }{ 2 }=2^{\frac{ 1 }{ 3 }\times \frac{ 1 }{ 2 }}=2^{\frac{ 1 }{ 6 }}\]

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