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anonymous

  • one year ago

Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

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  1. anonymous
    • one year ago
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    some one please help

  2. anonymous
    • one year ago
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    please help @pooja195 and @texaschic101

  3. jim_thompson5910
    • one year ago
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    is it \[\Large \sqrt{x}*4\sqrt{x}\] OR is it \[\Large \sqrt{x}*\sqrt[4]{x}\]

  4. anonymous
    • one year ago
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    the second one

  5. jim_thompson5910
    • one year ago
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    \[\LARGE \sqrt{x}*\sqrt[4]{x} = \sqrt[2]{x}*\sqrt[4]{x}\] \[\LARGE \sqrt{x}*\sqrt[4]{x} = x^{1/2}*x^{1/4}\] \[\LARGE \sqrt{x}*\sqrt[4]{x} = ???\]

  6. jim_thompson5910
    • one year ago
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    do you see how to finish up?

  7. anonymous
    • one year ago
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    x^1/8

  8. jim_thompson5910
    • one year ago
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    you don't multiply the exponents, you add them

  9. anonymous
    • one year ago
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    x^3/4

  10. jim_thompson5910
    • one year ago
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    good, the answer is \[\LARGE x^{3/4}\]

  11. anonymous
    • one year ago
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    oh thank you so much

  12. jim_thompson5910
    • one year ago
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    no problem

  13. anonymous
    • one year ago
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    oh wait one more question

  14. anonymous
    • one year ago
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    @jim_thompson5910

  15. jim_thompson5910
    • one year ago
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    go ahead

  16. anonymous
    • one year ago
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    Rewrite in simplest radical form x 5 6 x 1 6 . Show each step of your process.

  17. jim_thompson5910
    • one year ago
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    draw it out please

  18. jim_thompson5910
    • one year ago
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    or use the equation editor

  19. anonymous
    • one year ago
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    \[\frac{ x^5/6 }{ ?x^1/6 }\]

  20. jim_thompson5910
    • one year ago
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    so \(\LARGE x^{5/6}\) all over \(\LARGE x^{1/6}\) ??

  21. anonymous
    • one year ago
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    |dw:1435280726003:dw|

  22. jim_thompson5910
    • one year ago
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    ok great

  23. jim_thompson5910
    • one year ago
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    the bases are both x so we subtract exponents (top - bottom) |dw:1435280643135:dw|

  24. jim_thompson5910
    • one year ago
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    |dw:1435280679716:dw|

  25. anonymous
    • one year ago
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    you get 4/6

  26. jim_thompson5910
    • one year ago
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    which reduces to what

  27. anonymous
    • one year ago
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    2/3

  28. jim_thompson5910
    • one year ago
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    yes, so the final answer is \[\LARGE x^{2/3}\]

  29. jim_thompson5910
    • one year ago
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    |dw:1435280757259:dw|

  30. anonymous
    • one year ago
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    yay thank you so much again

  31. jim_thompson5910
    • one year ago
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    np

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