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Math Help - exponents

  1. #1
    Junior Member
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    exponents

    Write in exponential form:

    (there is a exponent like 3 before the square root)

    a. ^3 square root p^4q

    (there is a exponent like 3 before the square root)

    b. ^3 square root x^6y^-4
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  2. #2
    Senior Member
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    Quote Originally Posted by gracy View Post
    Write in exponential form:

    (there is a exponent like 3 before the square root)

    a. ^3 square root p^4q

    (there is a exponent like 3 before the square root)

    b. ^3 square root x^6y^-4
    a.) I'm assuming this is what you're asking for:

    (p^4*q)^(2/3)

    Or, equivalently:

    ((p^q)^4)^2/3

    b.) (x^6*y^(-4))^(3/2)

    = [(x^6)/(y^4)]^(3/2)

    = (x^9)/(y^6)
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  3. #3
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    I am really confused.
    the question is
    (a) cube root(p^4q )
    (b) cube root (x^6y^-4)
    Last edited by gracy; January 21st 2007 at 10:10 PM.
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  4. #4
    MHF Contributor
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    Quote Originally Posted by gracy View Post
    I am really confused.
    the question is
    (a) cube root(p^4q )
    (b) cube root (x^6y^-4)
    a) cubrt[(p^4)(q)]
    = [(p^4)(q)]^(1/3)
    = [p^(4 *1/3)]*[q^(1/3)]
    = [p^(4/3)]*[q^(1/3)] -------------answer.

    ----------------------------------------------------
    cubrt[(x^6)(y^4)]
    = [(x^6)(y^4)]^(1/3)
    = [x^(6 *1/3)][y^(4 *1/3)]
    = [x^2][y^(4/3)] ----------------answer.
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