I don't understand this.

$\displaystyle

x^3/2-x^1/2 = 0$

For the problem, you're suppose to factor out a 1/2. I don't get that. You can't just go ahead and subtract?

Someone please explain this problem to me.

$\displaystyle x^3/2=x^1/2$

...3/2 and 1/2 are the exponents.