Evaluate (5(7-4)^2)÷3+11

$5 {(7 - 4)}^{2} \div 3 + 11$

Step 1

Subtract $4$ from $7$ .

$5 \cdot 3^{2} \div 3 + 11$

Step 2

Simplify each term.

Rewrite the division as a fraction.

$\frac{5 \cdot 3^{2}}{3} + 11$

Cancel the common factor of $3^{2}$ and $3$ .

Factor $3$ out of $5 \cdot 3^{2}$ .

$\frac{3 (5 \cdot 3)}{3} + 11$

Cancel the common factors.

Factor $3$ out of $3$ .

$\frac{3 (5 \cdot 3)}{3 (1)} + 11$

Cancel the common factor.

$\frac{3 (5 \cdot 3)}{3 \cdot 1} + 11$

Rewrite the expression.

$\frac{5 \cdot 3}{1} + 11$

Divide $5 \cdot 3$ by $1$ .

$5 \cdot 3 + 11$

$5 \cdot 3 + 11$

$5 \cdot 3 + 11$

Multiply $5$ by $3$ .

$15 + 11$

$15 + 11$

Step 3

Add $15$ and $11$ .

$26$

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