Asked by Stephen

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

My final answer was x/sqrt5

Answers

Answered by Steve
you are correct.
Answered by Damon
x^5/2 * x^-3/2 = x^1 = x

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

x/5
Answered by Steve
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!

Answered by Stephen
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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