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Math Help - Another Integration Question

  1. #1
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    Another Integration Question

    Why is U raised to the -1/5 here in the second step?

    I understand that the 4/5 came from bringing u^1/5 up so that -1/5 + 1 = 4/5, but I do not see where the -1/5 comes from.

    \frac{1}{16}\int\frac{u-5}{u^{1/5}}du
    \frac{1}{16}[u^{{4/5}} - 5u^{{-1/5}}]du
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by gammaman View Post
    Why is U raised to the -1/5 here in the second step?

    I understand that the 4/5 came from bringing u^1/5 up so that -1/5 + 1 = 4/5, but I do not see where the -1/5 comes from.

    \frac{1}{16}\int\frac{u-5}{u^{1/5}}du
    \frac{1}{16}[u^{{4/5}} - 5u^{{-1/5}}]du
    It comes from basic rules of exponents...

    \frac{1}{a^n}=a^{-n}
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