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kandsbbf Group Title

What is a simpler form of the radical expression?

  • one year ago
  • one year ago

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  1. kandsbbf Group Title
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    |dw:1358117374152:dw|

    • one year ago
  2. kandsbbf Group Title
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    @Butterfly16

    • one year ago
  3. kandsbbf Group Title
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    some pls help

    • one year ago
  4. kandsbbf Group Title
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    @loveudrew123

    • one year ago
  5. nooce Group Title
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    Simplify the x^12 and y^16 first

    • one year ago
  6. nooce Group Title
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    Remember:\[(x^a)^b x^{a• b}\]

    • one year ago
  7. kandsbbf Group Title
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    do i just simplify the exponents?

    • one year ago
  8. nooce Group Title
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    We're simplifying them first, cause it's easier haha, we'll move on to the 240 after you simplify the exponents

    • one year ago
  9. nooce Group Title
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    2901*

    • one year ago
  10. kandsbbf Group Title
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    so how do i simplify them?

    • one year ago
  11. nooce Group Title
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    Well since, \[(x^a)^b = x^{a•b}\] divide x^12 and y^16 by 4. What do you get?

    • one year ago
  12. nooce Group Title
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    (I mean the powers of x and y)

    • one year ago
  13. kandsbbf Group Title
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    x^2 x^4

    • one year ago
  14. nooce Group Title
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    Wait, but 12/4 = 3, not 2. Also, it would be y^4

    • one year ago
  15. nooce Group Title
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    But moving on, now we simplify \[\sqrt[4]{2901}\] Do you have any idea on how to do this? (just asking)

    • one year ago
  16. kandsbbf Group Title
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    no lol, but i really appreciate u teaching me

    • one year ago
  17. nooce Group Title
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    No problem, I'm glad to help :) Well, first, we need to find a factor of 2901 that is a power of 4. (ex. 16, because 2^4 = 16)

    • one year ago
  18. kandsbbf Group Title
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    how do we do that lol

    • one year ago
  19. nooce Group Title
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    Here's a list of em: \[2^4 = 16\] \[3^4 = 81\] \[4^4 = 256\] \[5^4 = 625\] \[6^4 = 1296\] Are any of these numbers factors of 2901?

    • one year ago
  20. kandsbbf Group Title
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    no i get dec. for all of them

    • one year ago
  21. nooce Group Title
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    The number in the problem is 2901, right?

    • one year ago
  22. nooce Group Title
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    Or is it 2401?

    • one year ago
  23. nooce Group Title
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    because, \[7^4 = 2401\]

    • one year ago
  24. kandsbbf Group Title
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    2401 sorry(:

    • one year ago
  25. kandsbbf Group Title
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    @nooce

    • one year ago
  26. nooce Group Title
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    Alright, since we know 2401 = 7^4, we can take that out of the radical :) So we get, \[\sqrt[4]{2401x^{12}y^{16}} = 7x^3y^4\] Do you get it? :D

    • one year ago
  27. kandsbbf Group Title
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    yes thankyou!

    • one year ago
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