Algebra Examples

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

Step 1

Simplify the expression.

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Step 1.1

Raise $- 5$ to the power of $2$ .

$25 \cdot {(\frac{2}{5})}^{2}$

Step 1.2

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

$25 \cdot \frac{2^{2}}{5^{2}}$

Step 1.3

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

$25 \cdot \frac{4}{5^{2}}$

Step 1.4

Raise $5$ to the power of $2$ .

$25 \cdot \frac{4}{25}$

$25 \cdot \frac{4}{25}$

Step 2

Cancel the common factor of $25$ .

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Step 2.1

Cancel the common factor.

$25 \cdot \frac{4}{25}$

Step 2.2

Rewrite the expression.

$4$

$4$

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