Basic Math Examples

$\frac{10^{2}}{5} \div {(7 - 5)}^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{10^{2}}{5}}{{(7 - 5)}^{2}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{10^{2}}{5} \cdot \frac{1}{{(7 - 5)}^{2}}$

Step 3

Combine fractions.

Tap for more steps...

Step 3.1

Combine.

$\frac{10^{2} \cdot 1}{5 {(7 - 5)}^{2}}$

Step 3.2

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

$\frac{100 \cdot 1}{5 {(7 - 5)}^{2}}$

$\frac{100 \cdot 1}{5 {(7 - 5)}^{2}}$

Step 4

Simplify the denominator.

Tap for more steps...

Step 4.1

Subtract $5$ from $7$ .

$\frac{100 \cdot 1}{5 \cdot 2^{2}}$

Step 4.2

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

$\frac{100 \cdot 1}{5 \cdot 4}$

$\frac{100 \cdot 1}{5 \cdot 4}$

Step 5

Simplify the expression.

Tap for more steps...

Step 5.1

Multiply $100$ by $1$ .

$\frac{100}{5 \cdot 4}$

Step 5.2

Multiply $5$ by $4$ .

$\frac{100}{20}$

Step 5.3

Divide $100$ by $20$ .

$5$

$5$

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