Algebra Examples

$100 {(\frac{1}{2})}^{\frac{168}{12}}$

Step 1

Simplify the expression.

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Step 1.1

Divide $168$ by $12$ .

$100 {(\frac{1}{2})}^{14}$

Step 1.2

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

$100 \frac{1^{14}}{2^{14}}$

Step 1.3

One to any power is one.

$100 \frac{1}{2^{14}}$

Step 1.4

Raise $2$ to the power of $14$ .

$100 (\frac{1}{16384})$

$100 (\frac{1}{16384})$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $100$ .

$4 (25) \frac{1}{16384}$

Step 2.2

Factor $4$ out of $16384$ .

$4 \cdot 25 \frac{1}{4 \cdot 4096}$

Step 2.3

Cancel the common factor.

$4 \cdot 25 \frac{1}{4 \cdot 4096}$

Step 2.4

Rewrite the expression.

$25 (\frac{1}{4096})$

$25 (\frac{1}{4096})$

Step 3

Combine $25$ and $\frac{1}{4096}$ .

$\frac{25}{4096}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{4096}$

Decimal Form:

$0.00610351 \dots$

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