What is the square root of x ?

(x)^3/2

x^3/2=xx^1/2

Well since powers add when identical bases are multiplied, so split the x's.

√(x² * x)

◊ Distribute the radical across the multiplication ◊

√(x²) * √(x)

x√x

removed x^2 from x^3 leaving you with x√x

x sqrt(x)

√x^3
= √(x^2 * x)
= x√x