Algebra Examples

$8 \cdot {(\frac{1}{2})}^{2}$

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $\frac{1}{2}$ .

$8 \cdot \frac{1^{2}}{2^{2}}$

Step 1.2

One to any power is one.

$8 \cdot \frac{1}{2^{2}}$

Step 1.3

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

$8 \cdot \frac{1}{4}$

$8 \cdot \frac{1}{4}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $8$ .

$4 (2) \cdot \frac{1}{4}$

Step 2.2

Cancel the common factor.

$4 \cdot 2 \cdot \frac{1}{4}$

Step 2.3

Rewrite the expression.

$2$

$2$

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