Basic Math Examples

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

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

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Multiply $4$ by $2$ .

${(\frac{5}{2})}^{8}$

Step 3.2

Apply the product rule to $\frac{5}{2}$ .

$\frac{5^{8}}{2^{8}}$

Step 3.3

Raise $5$ to the power of $8$ .

$\frac{390625}{2^{8}}$

Step 3.4

Raise $2$ to the power of $8$ .

$\frac{390625}{256}$

$\frac{390625}{256}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{390625}{256}$

Decimal Form:

$1525.87890625$

Mixed Number Form:

$1525 \frac{225}{256}$

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