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

Question

1/5*sqrt5x^5(1/sqrt5x^3)=
sqrt5x^5/sqrt5*sqrt5x^3=
x^2 sqrt5x/ sqrt5 * x sqrt5x=
x^2/x sqrt5=
x/sqrt 5

Is this correct? If not, where am I going wrong and what is the answer?

Answer 1

The way it is actually written is
(5)^-1/2 * 5x^5/2 (5x)^-3/2 =

Answer 2

well, 5x^5/2 (5x)^-3/2 = 5x

so, now what do you think?

Answer 3

5x/sqrt5?

Answer 4

I think I understand now. This would be the solution:
(5)^-1/2 * 5x^5/2+(-3/2)=
(5)^-1/2 * 5x=
5x/sqrt5

Answer 5

or, just √5 x, since 5/√5 = √5