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mathtard

  • 3 years ago

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

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

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

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

  4. gandalfwiz
    • 3 years ago
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    <rolls eyes>

  5. polpak
    • 3 years ago
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    radicals are to exponents as division is to multiplication.

  6. polpak
    • 3 years ago
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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)

  7. polpak
    • 3 years ago
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    Or even powers that is

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

  9. polpak
    • 3 years ago
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    Absolute value sign.

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

  11. gandalfwiz
    • 3 years ago
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    xactely

  12. polpak
    • 3 years ago
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    Yes.

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

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

  15. polpak
    • 3 years ago
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    It's a nit picky detail.

  16. polpak
    • 3 years ago
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    | | is the absolute value operator.

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