Evaluate 3/4(2^3+4^2)

$\frac{3}{4} (2^{3} + 4^{2})$

Step 1

Simplify each term.

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

$\frac{3}{4} \cdot (8 + 4^{2})$

Raise $4$ to the power of $2$ .

$\frac{3}{4} \cdot (8 + 16)$

Step 2

Reduce the expression by cancelling the common factors.

Add $8$ and $16$ .

$\frac{3}{4} \cdot 24$

Cancel the common factor of $4$ .

Factor $4$ out of $24$ .

$\frac{3}{4} \cdot (4 (6))$

Cancel the common factor.

$\frac{3}{4} \cdot (4 \cdot 6)$

Rewrite the expression.

$3 \cdot 6$

Multiply $3$ by $6$ .

$18$