Calculus Examples

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

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{5 \cdot 25 - 1}{{(- 5)}^{2}}$

Step 1.2

Multiply $5$ by $25$ .

$\frac{125 - 1}{{(- 5)}^{2}}$

Step 1.3

Subtract $1$ from $125$ .

$\frac{124}{{(- 5)}^{2}}$

$\frac{124}{{(- 5)}^{2}}$

Step 2

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

$\frac{124}{25}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{124}{25}$

Decimal Form:

$4.96$

Mixed Number Form:

$4 \frac{24}{25}$

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