Calculus Examples

$5 {(\frac{1}{2})}^{4}$

Step 1

Simplify the expression.

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Step 1.1

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

$5 \frac{1^{4}}{2^{4}}$

Step 1.2

One to any power is one.

$5 \frac{1}{2^{4}}$

Step 1.3

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

$5 (\frac{1}{16})$

$5 (\frac{1}{16})$

Step 2

Combine $5$ and $\frac{1}{16}$ .

$\frac{5}{16}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{16}$

Decimal Form:

$0.3125$

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