Basic Math Examples

${(\frac{2}{7})}^{2} \cdot {(\frac{7}{13})}^{2}$

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $\frac{2}{7}$ .

$\frac{2^{2}}{7^{2}} \cdot {(\frac{7}{13})}^{2}$

Step 1.2

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

$\frac{4}{7^{2}} \cdot {(\frac{7}{13})}^{2}$

Step 1.3

Raise $7$ to the power of $2$ .

$\frac{4}{49} \cdot {(\frac{7}{13})}^{2}$

Step 1.4

Apply the product rule to $\frac{7}{13}$ .

$\frac{4}{49} \cdot \frac{7^{2}}{13^{2}}$

$\frac{4}{49} \cdot \frac{7^{2}}{13^{2}}$

Step 2

Combine.

$\frac{4 \cdot 7^{2}}{49 \cdot 13^{2}}$

Step 3

Simplify the expression.

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Step 3.1

Raise $7$ to the power of $2$ .

$\frac{4 \cdot 49}{49 \cdot 13^{2}}$

Step 3.2

Raise $13$ to the power of $2$ .

$\frac{4 \cdot 49}{49 \cdot 169}$

Step 3.3

Multiply $4$ by $49$ .

$\frac{196}{49 \cdot 169}$

Step 3.4

Multiply $49$ by $169$ .

$\frac{196}{8281}$

$\frac{196}{8281}$

Step 4

Cancel the common factor of $196$ and $8281$ .

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Step 4.1

Factor $49$ out of $196$ .

$\frac{49 (4)}{8281}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $49$ out of $8281$ .

$\frac{49 \cdot 4}{49 \cdot 169}$

Step 4.2.2

Cancel the common factor.

$\frac{49 \cdot 4}{49 \cdot 169}$

Step 4.2.3

Rewrite the expression.

$\frac{4}{169}$

$\frac{4}{169}$

$\frac{4}{169}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{169}$

Decimal Form:

$0.02366863 \dots$

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