Simplify (13*2-5^2)/((3^2-(-4))^2)

$\frac{13 \cdot 2 - 5^{2}}{{(3^{2} - (- 4))}^{2}}$

Simplify the numerator.

Multiply $13$ by $2$ .

$\frac{26 - 5^{2}}{{(3^{2} - (- 4))}^{2}}$

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

$\frac{26 - 1 \cdot 25}{{(3^{2} - (- 4))}^{2}}$

Multiply $- 1$ by $25$ .

$\frac{26 - 25}{{(3^{2} - (- 4))}^{2}}$

Subtract $25$ from $26$ .

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

Simplify the denominator.

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

$\frac{1}{{(9 - (- 4))}^{2}}$

Multiply $- 1$ by $- 4$ .

$\frac{1}{{(9 + 4)}^{2}}$

Add $9$ and $4$ .

$\frac{1}{13^{2}}$

Raise $13$ to the power of $2$ .

$\frac{1}{169}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{169}$

Decimal Form:

$0.00591715 \dots$