Algebra Examples

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

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

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Multiply

13

$13$ by

2

$2$ .

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

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

Step 1.2

Raise

5

$5$ to the power of

2

$2$ .

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

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

Step 1.3

Multiply

- 1

$- 1$ by

25

$25$ .

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

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

Step 1.4

Subtract

25

$25$ from

26

$26$ .

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

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

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

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

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Raise

3

$3$ to the power of

2

$2$ .

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

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

Step 2.2

Multiply

- 1

$- 1$ by

- 4

$- 4$ .

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

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

Step 2.3

Add

9

$9$ and

4

$4$ .

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

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

Step 2.4

Raise

13

$13$ to the power of

2

$2$ .

\frac{1}{169}

$\frac{1}{169}$

\frac{1}{169}

$\frac{1}{169}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{1}{169}

$\frac{1}{169}$

Decimal Form:

0.00591715 \dots

$0.00591715 \dots$

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

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