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anonymous

  • one year ago

help

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  1. anonymous
    • one year ago
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    sqrt[6]{125a^15}

  2. anonymous
    • one year ago
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    with what

  3. anonymous
    • one year ago
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    \[\sqrt[6]{125a^1}\]

  4. anonymous
    • one year ago
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    a^15 my bad

  5. anonymous
    • one year ago
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    \[\sqrt{5} ^15

  6. Nnesha
    • one year ago
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    convert 6th root to exponent \[\huge\rm \sqrt[n]{x^m} = x^\frac{ m }{ n }\]

  7. anonymous
    • one year ago
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    \[\sqrt[5]{15}\]

  8. anonymous
    • one year ago
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    like this

  9. Nnesha
    • one year ago
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    nope it's 6th root so n = 6 |dw:1433351042568:dw| so \[\huge\rm \sqrt[6]{a^{15}} = a^\frac{ ? }{ ? } \]

  10. anonymous
    • one year ago
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    a^15/6

  11. Nnesha
    • one year ago
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    yep right now reduce the fraction

  12. anonymous
    • one year ago
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    5/2

  13. anonymous
    • one year ago
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    so a 5/2 is the answer

  14. anonymous
    • one year ago
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    nope

  15. Nnesha
    • one year ago
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    not done a^5/2 \[\huge\rm a^\frac{ a \times a \times a \times a \times a }{ a \times a }\] can u cancel out 2 a's or in other words how many times 2 goes into 5 ?

  16. anonymous
    • one year ago
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    2

  17. anonymous
    • one year ago
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    times

  18. Nnesha
    • one year ago
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    yep right so 5/2 2 times so 4-5 = 1 that's mean a stay under the root and one a^2 u can write it outside the root |dw:1433351567387:dw| now factor 125

  19. Nnesha
    • one year ago
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    5^what power =125 ?

  20. Nnesha
    • one year ago
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    a^5/2 can be written as \[\huge\rm \sqrt{a^5} = \sqrt{a^2 \times a^2 \times a}\] (when we multiply same bases we should add their exponent ) square cancels with square root so \[a \times a \sqrt{a} = a^2 \sqrt{a}\]

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