(2x^2)^3/2 / 2^1/2x^4

can someone tell me how to simplify this? thanks much!

I am not certain where the x^4 goes, in the numerator or denominator.

But the 2x^2)^3/2 term can be changed to 2sqrt2 * x^2, and the sqrt2 will divide out with the term in the denominator.