Algebra Examples

$\frac{5^{3} - {(6 + 4)}^{2}}{5^{1}}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $5$ to the power of $3$ .

$\frac{125 - {(6 + 4)}^{2}}{5^{1}}$

Step 1.2

Add $6$ and $4$ .

$\frac{125 - 10^{2}}{5^{1}}$

Step 1.3

Raise $10$ to the power of $2$ .

$\frac{125 - 1 \cdot 100}{5^{1}}$

Step 1.4

Multiply $- 1$ by $100$ .

$\frac{125 - 100}{5^{1}}$

Step 1.5

Subtract $100$ from $125$ .

$\frac{25}{5^{1}}$

$\frac{25}{5^{1}}$

Step 2

Evaluate the exponent.

$\frac{25}{5}$

Step 3

Divide $25$ by $5$ .

$5$

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