Rewrite the expression with the denominator in exponent form.

The square root of $x$ can be written as $x^{1/2}$.

$$y = \frac{4x^2 + 3x - 2}{x^{1/2}}$$

For the first term:

$$4x^{2 - 1/2} = 4x^{4/2 - 1/2} = 4x^{3/2}$$

For the second term:

$$3x^{1 - 1/2} = 3x^{2/2 - 1/2} = 3x^{1/2}$$

For the third term:

$$2x^{-1/2}$$