Algebra Examples

$(x \frac{1}{5}) (2 x \frac{2}{5})$

Step 1

Multiply $x$ by $x$ by adding the exponents.

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Step 1.1

Move $x$ .

$x \cdot x \frac{1}{5} (2 (\frac{2}{5}))$

Step 1.2

Multiply $x$ by $x$ .

$x^{2} \frac{1}{5} (2 (\frac{2}{5}))$

$x^{2} \frac{1}{5} (2 (\frac{2}{5}))$

Step 2

Combine $x^{2}$ and $\frac{1}{5}$ .

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

Step 3

Multiply $2 (\frac{2}{5})$ .

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Step 3.1

Combine $2$ and $\frac{2}{5}$ .

$\frac{x^{2}}{5} \cdot \frac{2 \cdot 2}{5}$

Step 3.2

Multiply $2$ by $2$ .

$\frac{x^{2}}{5} \cdot \frac{4}{5}$

$\frac{x^{2}}{5} \cdot \frac{4}{5}$

Step 4

Combine.

$\frac{x^{2} \cdot 4}{5 \cdot 5}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $5$ by $5$ .

$\frac{x^{2} \cdot 4}{25}$

Step 5.2

Move $4$ to the left of $x^{2}$ .

$\frac{4 x^{2}}{25}$

$\frac{4 x^{2}}{25}$

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