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mathtard Group Title

Find the following assuming that a can represent any real number \[\sqrt[4]{(5a)}^{4}\]

  • 2 years ago
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  1. gandalfwiz Group Title
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    5a, because ur taking the 4 root of something to the fourth power

    • 2 years ago
  2. mathtard Group Title
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    so why would it be 5a?

    • 2 years ago
  3. polpak Group Title
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    it's actually |5a|

    • 2 years ago
  4. gandalfwiz Group Title
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    <rolls eyes>

    • 2 years ago
  5. polpak Group Title
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    radicals are to exponents as division is to multiplication.

    • 2 years ago
  6. polpak Group Title
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    So if you take the 4th root of something to the 4th power you will get what you started with (except with even roots you have to slap an absolute value on it)

    • 2 years ago
  7. polpak Group Title
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    Or even powers that is

    • 2 years ago
  8. mathtard Group Title
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    so I don't understand what the lines represent on the sides of the answer?

    • 2 years ago
  9. polpak Group Title
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    Absolute value sign.

    • 2 years ago
  10. mathtard Group Title
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    so the 4's basically cancel eachother out?

    • 2 years ago
  11. gandalfwiz Group Title
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    xactely

    • 2 years ago
  12. polpak Group Title
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    Yes.

    • 2 years ago
  13. polpak Group Title
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    If you have the same power as you have index on your radical it cancels out the exponent.

    • 2 years ago
  14. mathtard Group Title
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    ok I think I understand. at least better. But what are the lines on each side for?

    • 2 years ago
  15. polpak Group Title
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    It's a nit picky detail.

    • 2 years ago
  16. polpak Group Title
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    | | is the absolute value operator.

    • 2 years ago
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