Basic Math Examples

${(\frac{21}{10} \div \frac{7}{5})}^{2 \cdot 4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

${(\frac{21}{10} \cdot \frac{5}{7})}^{2 \cdot 4}$

Step 2

Cancel the common factor of $7$ .

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Step 2.1

Factor $7$ out of $21$ .

${(\frac{7 (3)}{10} \cdot \frac{5}{7})}^{2 \cdot 4}$

Step 2.2

Cancel the common factor.

${(\frac{7 \cdot 3}{10} \cdot \frac{5}{7})}^{2 \cdot 4}$

Step 2.3

Rewrite the expression.

${(\frac{3}{10} \cdot 5)}^{2 \cdot 4}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $10$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

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

Step 4

Simplify the expression.

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Step 4.1

Multiply $2$ by $4$ .

${(\frac{3}{2})}^{8}$

Step 4.2

Apply the product rule to $\frac{3}{2}$ .

$\frac{3^{8}}{2^{8}}$

Step 4.3

Raise $3$ to the power of $8$ .

$\frac{6561}{2^{8}}$

Step 4.4

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

$\frac{6561}{256}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{6561}{256}$

Decimal Form:

$25.62890625$

Mixed Number Form:

$25 \frac{161}{256}$