Evaluate the Function g(p)=4^x , x=3/2

$g (p) = 4^{x}$ , $x = \frac{3}{2}$

Replace the variable $x$ with $\frac{3}{2}$ in the expression.

$g (p) = 4^{\frac{3}{2}}$

Simplify the result.

Simplify the expression.

Rewrite $4$ as $2^{2}$ .

$g (p) = {(2^{2})}^{\frac{3}{2}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$g (p) = 2^{2 (\frac{3}{2})}$

Cancel the common factor of $2$ .

Cancel the common factor.

$g (p) = 2^{2 (\frac{3}{2})}$

Rewrite the expression.

$g (p) = 2^{3}$

Raise $2$ to the power of $3$ .

$g (p) = 8$

The final answer is $8$ .

$8$