after more simplification I got
x^2(sqrt5x)/(sqrt5)(x sqrt5x)
can I cancel out the sqrt5x from the denominator and numerator?
5^-1/2 x 5x^5/2(5x)^-3/2=
1/sqrt5 x sqrt5x^5 x 1/sqrt5x^3=
??? I need to simplify and I need help understanding what the next step is
4 answers
Is the final answer x/sqrt5?
need in layman's terms, please, thank you
I have a hard time parsing the factors, since you eschew parentheses. Why don't you enter your expression at wolframalpha.com and confirm your work. I tried to get it right at
http://www.wolframalpha.com/input/?i=5^%28-1%2F2%29+x+%285x%29^%285%2F2%29+%285x%29^%28-3%2F2%29
See what you think, and fix it if I garbled the syntax. You seem to have a handle on things, and wolframalpha is a great resource.
I will say that working from your last line, you clearly have a √5x top and bottom, which can cancel:
x^2(sqrt5x)/(sqrt5)(x sqrt5x)
= x^2 √(5x) / (√5 x√(5x))
= x^2/x√5 * √(5x)/√(5x)
= x/√5
http://www.wolframalpha.com/input/?i=5^%28-1%2F2%29+x+%285x%29^%285%2F2%29+%285x%29^%28-3%2F2%29
See what you think, and fix it if I garbled the syntax. You seem to have a handle on things, and wolframalpha is a great resource.
I will say that working from your last line, you clearly have a √5x top and bottom, which can cancel:
x^2(sqrt5x)/(sqrt5)(x sqrt5x)
= x^2 √(5x) / (√5 x√(5x))
= x^2/x√5 * √(5x)/√(5x)
= x/√5