Evaluate 1/2(4^3-6*3^2)

$\frac{1}{2} (4^{3} - 6 \cdot 3^{2})$

Step 1

Simplify each term.

Raise $4$ to the power of $3$ .

$\frac{1}{2} \cdot (64 - 6 \cdot 3^{2})$

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

$\frac{1}{2} \cdot (64 - 6 \cdot 9)$

Multiply $- 6$ by $9$ .

$\frac{1}{2} \cdot (64 - 54)$

Step 2

Reduce the expression by cancelling the common factors.

Subtract $54$ from $64$ .

$\frac{1}{2} \cdot 10$

Cancel the common factor of $2$ .

Factor $2$ out of $10$ .

$\frac{1}{2} \cdot (2 (5))$

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot 5)$

Rewrite the expression.

$5$