Algebra

Simplify
5^-1/2 * 5x^5/2 (5x)^-3/2

My final answer was x/sqrt5

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  1. you are correct.

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  2. x^5/2 * x^-3/2 = x^1 = x

    5^-1/2 * 5^1 * 5^-3/2 = 5^-1 =1/5

    x/5

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  3. I disagree, if you interpret the expression as

    5^-1/2 * (5x)^5/2 * (5x)^-3/2

    as he apparently did. I must say though, in Damon's defense, Stephen's wily (wildly?) and inconsistent use of parentheses left things open to misinterpretation.

    Actually, even that is wrong, because you then have

    5^-1/2 * 5x = x√5, not x/√5

    So, my bad, too!

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  4. I'm just trying to write it like it appears in the book.
    (5)^-1/2 * (5x)^5/2 (5x)^-3/2

    Simplifies to
    1/5 * �ã5x^5(1/�ã5x^3)

    How do I get to x�ã5?
    I'm confused. I've tried many times.

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