Algebra Examples

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

Step 1

Evaluate the exponents.

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Step 1.1

Raise $2$ to the power of $4$ .

$2^{2} \cdot \frac{2}{16}$

Step 1.2

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

$4 \cdot \frac{2}{16}$

$4 \cdot \frac{2}{16}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $16$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$\frac{2}{4}$

$\frac{2}{4}$

Step 3

Cancel the common factor of $2$ and $4$ .

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Step 3.1

Factor $2$ out of $2$ .

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $4$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

$\frac{1}{2}$

$\frac{1}{2}$

$\frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

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