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invisadude

  • 2 years ago

square root problem

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  1. cathyangs
    • 2 years ago
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    which is?

  2. invisadude
    • 2 years ago
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    the expression \[\sqrt[4]{16x ^{2}y ^{7}?}\] is equivalent to which? 2x^(1/2)y^(7/4) , 4x^(1/2)y^(7/4), 2x^8y^28, or 4x^8y^28.

  3. invisadude
    • 2 years ago
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    sorry it took me so long

  4. BlingBlong
    • 2 years ago
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    Use the the fundamental rule with radicals that (ab)^(1/2) = (a)^(1/2) * (b)^(1/2)

  5. BlingBlong
    • 2 years ago
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    Do you understand radicals? They are simply used to determine what two (or 4 in this case) identical numbers multiply together to give what is under the radical for example 3^(2) = 9 3*3 = 9 (9)^(1/2) =3

  6. invisadude
    • 2 years ago
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    i know but how does that help me find what the equation is equivalent to?

  7. BlingBlong
    • 2 years ago
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    so split up the terms of your problem into (16)^(1/4) * (x^(2))^(1/4) * (y^(7))^(1/4) I will solve the first term to show you how to solve this so we have (16)^(1/4) if you raise 2^(4) you realize you can get 16 so it simplifies to just 2 so now you are left with 2 * (x^(2))^(1/4) * (y^(7))^(1/4) Now to solve a variable what times what give y^(7) that will allow it to be simplified (when multiplying numbers with exponents we add the exponents). so we have 2 * (x^(2))^(1/4) * (y^(4))^(1/4) * (y^(3))^(1/4)

  8. BlingBlong
    • 2 years ago
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    do you know what the next step is?

  9. BlingBlong
    • 2 years ago
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    ??

  10. BlingBlong
    • 2 years ago
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    remember the rule that (x^(4))^(1/4) is the same as x^((x/1)(1/4)) = x^(1) = x

  11. invisadude
    • 2 years ago
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    um do i i change (x^2)^1/4 into x?

  12. BlingBlong
    • 2 years ago
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    wait apply the rule I just showed you so (x^(2))^(1/4) = x^((2/1)(1/4))

  13. BlingBlong
    • 2 years ago
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    you know how to multiply fractions right and that all numbers can be expressed with a 1 in the denominator

  14. BlingBlong
    • 2 years ago
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    and how to simplify fractions right? (2/4) = (1/2)

  15. invisadude
    • 2 years ago
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    ya so um it turns out to be x^1/2?

  16. BlingBlong
    • 2 years ago
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    yup

  17. BlingBlong
    • 2 years ago
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    what is (y^(3))^(1/4) simplified?

  18. invisadude
    • 2 years ago
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    2x^1/2 and y^7/4

  19. BlingBlong
    • 2 years ago
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    y^(7/4) can be simplified more you would know that if you read what I posted

  20. BlingBlong
    • 2 years ago
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    you can split up numbers and variables to aid in simplification of them

  21. invisadude
    • 2 years ago
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    ya but that is what it looks like as one of the answer choices

  22. BlingBlong
    • 2 years ago
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    oh ok weird sorry for the accusation hope I was helpful

  23. invisadude
    • 2 years ago
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    ya u were ty

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