Evaluate (3(16)^(1/2))/2

$\frac{3 {(16)}^{\frac{1}{2}}}{2}$

Simplify the numerator.

Rewrite $16$ as $4^{2}$ .

$\frac{3 \cdot {(4^{2})}^{\frac{1}{2}}}{2}$

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

$\frac{3 \cdot 4^{2 (\frac{1}{2})}}{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{3 \cdot 4^{2 (\frac{1}{2})}}{2}$

Rewrite the expression.

$\frac{3 \cdot 4^{1}}{2}$

Evaluate the exponent.

$\frac{3 \cdot 4}{2}$

Simplify the expression.

Multiply $3$ by $4$ .

$\frac{12}{2}$

Divide $12$ by $2$ .

$6$