Algebra Examples

$16 (\frac{2^{- 3}}{2^{2}})$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$16 \frac{\frac{1}{2^{3}}}{2^{2}}$

Step 1.2

Raise $2$ to the power of $3$ .

$16 \frac{\frac{1}{8}}{2^{2}}$

$16 \frac{\frac{1}{8}}{2^{2}}$

Step 2

Simplify terms.

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Step 2.1

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

$16 \frac{\frac{1}{8}}{4}$

Step 2.2

Cancel the common factor of $4$ .

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Step 2.2.1

Factor $4$ out of $16$ .

$4 (4) \frac{\frac{1}{8}}{4}$

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$4 (\frac{1}{8})$

$4 (\frac{1}{8})$

Step 2.3

Combine $4$ and $\frac{1}{8}$ .

$\frac{4}{8}$

Step 2.4

Cancel the common factor of $4$ and $8$ .

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Step 2.4.1

Factor $4$ out of $4$ .

$\frac{4 (1)}{8}$

Step 2.4.2

Cancel the common factors.

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Step 2.4.2.1

Factor $4$ out of $8$ .

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

Step 2.4.2.2

Cancel the common factor.

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

Step 2.4.2.3

Rewrite the expression.

$\frac{1}{2}$

$\frac{1}{2}$

$\frac{1}{2}$

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

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