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Math Help - solving for powers

  1. #1
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    solving for powers

    How do you solve the followwing:

    16 to the power of 3over2
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  2. #2
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    Quote Originally Posted by akela928 View Post
    How do you solve the followwing:

    16 to the power of 3over2
     x^{a/b} = (x^{1/b})^a

    This is all you need.
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  3. #3
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    Quote Originally Posted by pomp View Post
     x^{a/b} = (x^{1/b})^a

    This is all you need.
    would that mean then that the answer is 8 to the power of 3, thus being 64
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    Quote Originally Posted by akela928 View Post
    would that mean then that the answer is 8 to the power of 3, thus being 64
    I'm guessing that's a typo, and you meant to say ''that the answer is 4 to the power 3, thus being 64"

    That's correct!


    You could have also have done:

    16^{3/2} = (16^3)^{1/2} = 4096^{1/2} = 64

    But the other way was easier because it gave nicer numbers to work with.
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