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Math Help - Simple exponential equation help

  1. #1
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    Simple exponential equation help

    Seems like a simple question but I need some help understanding the steps.

    How would I write this as a power of 4:

    [Math]\sqrt[3]{8}^5[/tex]

    Steps to tackle such problems would be greatly appreciated!
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  2. #2
    A Plied Mathematician
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    How could you write 8 as a power of 4?
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  3. #3
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    Quote Originally Posted by Ackbeet View Post
    How could you write 8 as a power of 4?
    Aah okay, I get it. Thanks a lot!
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  4. #4
    A Plied Mathematician
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    You're welcome. Have a good one!
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  5. #5
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    Quote Originally Posted by Ackbeet View Post
    How could you write 8 as a power of 4?
    Interesting, I was always taught \displaystyle \sqrt[3]{8}^5 = (8^\frac{1}{3}})^5 = 2^5 = 32  = 2\times 16 = 2 \times 4^2
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  6. #6
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    Ah, but that doesn't quite cut it, I think. The whole number is a power of 4. So you'd have

    8^{\frac{5}{3}}=(4^{\frac{3}{2}})^{\frac{5}{3}}=4^  {\frac{5}{2}}.
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