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Math Help - Rational exponents

  1. #1
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    Rational exponents

    1)x^1/3(x-x^2/3)
    Attempt:-
    (x^1/3 * x)-(x^1/3 * x^2/3)
    =x^2/3-x

    2) a^-1/4(a^3/8+a^3/2)
    Attempt:-
    answer is 2a

    Are both of these attempts correct and please explain in steps if they are wrong
    (Thank you,)

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  2. #2
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    Quote Originally Posted by mj.alawami View Post
    1)x^1/3(x-x^2/3)
    Attempt:-
    (x^1/3 * x)-(x^1/3 * x^2/3)
    =x^2/3-x

    note that x^(1/3) * x = x^(4/3)

    2) a^-1/4(a^3/8+a^3/2)
    Attempt:-
    answer is 2a

    a^(-1/4) * a^(3/8) + a^(-1/4) * a^(3/2) = a^(1/8) + a^(5/4)
    fixed
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