# Algebra

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

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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

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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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