Evaluate ((14÷7*7)÷7-7)^2-4

${(14 \div 7 \cdot 7 \div 7 - 7)}^{2} - 4$

Step 1

Simplify each term.

Rewrite the division as a fraction.

${(\frac{14 \div 7 \cdot 7}{7} - 7)}^{2} - 4$

Cancel the common factor of $14$ and $7$ .

Factor $7$ out of $14$ .

${(\frac{7 \cdot 2 \div 7 \cdot 7}{7} - 7)}^{2} - 4$

Cancel the common factors.

Factor $7$ out of $7$ .

${(\frac{7 \cdot 2 \div 7 (1) \cdot 7}{7} - 7)}^{2} - 4$

Cancel the common factor.

${(\frac{7 \cdot 2 \div 7 \cdot 1 \cdot 7}{7} - 7)}^{2} - 4$

Rewrite the expression.

${(\frac{\frac{2}{1} \cdot 7}{7} - 7)}^{2} - 4$

Divide $2$ by $1$ .

${(\frac{2 \cdot 7}{7} - 7)}^{2} - 4$

Cancel the common factor of $7$ .

Cancel the common factor.

${(\frac{2 \cdot 7}{7} - 7)}^{2} - 4$

Divide $2$ by $1$ .

${(2 - 7)}^{2} - 4$

Subtract $7$ from $2$ .

${(- 5)}^{2} - 4$

Raise $- 5$ to the power of $2$ .

$25 - 4$

Step 2

Subtract $4$ from $25$ .

$21$