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Math Help - Real exponents?

  1. #1
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    Real exponents?

    Can anyone help me with these two problems?

    Simplify each expression

    1. (f^-16/ 256 g^4 h^-4) ^ -1/4 This is what I did

    (f^4/ 4^4 g^4 h^-4)
    f^4/4^-1 g^-1 h^1 Did I do this right?

    2. Solve each equation

    14.2= x^(-3/2)
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  2. #2
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    Quote Originally Posted by homeylova223 View Post
    Can anyone help me with these two problems? Simplify each expression
    1. (f^-16/ 256 g^4 h^-4) ^ -1/4
    2. Solve each equation
    14.2= x^(-3/2)
    If you would write the first as \left(2^{-8}f^{-16}g^{-4}h^{4}\right)^{\frac{-1}{4}} then
    it is a lot easier.
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  3. #3
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    Quote Originally Posted by homeylova223 View Post
    Can anyone help me with these two problems?

    Simplify each expression

    1. (f^-16/ 256 g^4 h^-4) ^ -1/4 This is what I did

    (f^4/ 4^4 g^4 h^-4)
    f^4/4^-1 g^-1 h^1 Did I do this right?

    2. Solve each equation

    14.2= x^(-3/2)
    For the second question,

    14.2=x^{-\frac{3}{2}}

    x^{\frac{3}{2}}=\frac{1}{14.2}

    x=\left(\frac{1}{14.2}\right)^{\frac{2}{3}}

    Hope you can continue.
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