Basic Math Examples

${(\frac{2}{7})}^{2 \cdot {(\frac{7}{11})}^{2}}$

Step 1

Apply the product rule to $\frac{7}{11}$ .

${(\frac{2}{7})}^{2 \cdot \frac{7^{2}}{11^{2}}}$

Step 2

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

${(\frac{2}{7})}^{2 \cdot \frac{49}{11^{2}}}$

Step 3

Raise $11$ to the power of $2$ .

${(\frac{2}{7})}^{2 \cdot \frac{49}{121}}$

Step 4

Multiply $2 (\frac{49}{121})$ .

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Step 4.1

Combine $2$ and $\frac{49}{121}$ .

${(\frac{2}{7})}^{\frac{2 \cdot 49}{121}}$

Step 4.2

Multiply $2$ by $49$ .

${(\frac{2}{7})}^{\frac{98}{121}}$

${(\frac{2}{7})}^{\frac{98}{121}}$

Step 5

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

$\frac{2^{\frac{98}{121}}}{7^{\frac{98}{121}}}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2^{\frac{98}{121}}}{7^{\frac{98}{121}}}$

Decimal Form:

$0.36253492 \dots$

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