Simplify 7(63÷(5^2-2^2)-1)

$7 (63 \div (5^{2} - 2^{2}) - 1)$

Simplify each term.

Rewrite the division as a fraction.

$7 (\frac{63}{5^{2} - 2^{2}} - 1)$

Simplify the denominator.

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

$7 (\frac{63}{25 - 2^{2}} - 1)$

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

$7 (\frac{63}{25 - 1 \cdot 4} - 1)$

Multiply $- 1$ by $4$ .

$7 (\frac{63}{25 - 4} - 1)$

Subtract $4$ from $25$ .

$7 (\frac{63}{21} - 1)$

$7 (\frac{63}{21} - 1)$

Divide $63$ by $21$ .

$7 (3 - 1)$

$7 (3 - 1)$

Simplify the expression.

Subtract $1$ from $3$ .

$7 \cdot 2$

Multiply $7$ by $2$ .

$14$

$14$

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