Algebra Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Multiply $13$ by $2$ .

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

Step 1.2

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

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

Step 1.3

Multiply $- 1$ by $25$ .

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

Step 1.4

Subtract $25$ from $26$ .

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

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

Step 2

Simplify the denominator.

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Step 2.1

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

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

Step 2.2

Multiply $- 1$ by $- 4$ .

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

Step 2.3

Add $9$ and $4$ .

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

Step 2.4

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

$\frac{1}{169}$

$\frac{1}{169}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{169}$

Decimal Form:

$0.00591715 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$