Precalculus Examples

$\frac{x^{2} {(2 x)}^{4}}{x^{3}}$

Step 1

Cancel the common factor of $x^{2}$ and $x^{3}$ .

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Step 1.1

Factor $x^{2}$ out of $x^{2} {(2 x)}^{4}$ .

$\frac{x^{2} ({(2 x)}^{4})}{x^{3}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $x^{2}$ out of $x^{3}$ .

$\frac{x^{2} ({(2 x)}^{4})}{x^{2} x}$

Step 1.2.2

Cancel the common factor.

$\frac{x^{2} {(2 x)}^{4}}{x^{2} x}$

Step 1.2.3

Rewrite the expression.

$\frac{{(2 x)}^{4}}{x}$

$\frac{{(2 x)}^{4}}{x}$

$\frac{{(2 x)}^{4}}{x}$

Step 2

Simplify the numerator.

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Step 2.1

Apply the product rule to $2 x$ .

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

Step 2.2

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

$\frac{16 x^{4}}{x}$

$\frac{16 x^{4}}{x}$

Step 3

Cancel the common factor of $x^{4}$ and $x$ .

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Step 3.1

Factor $x$ out of $16 x^{4}$ .

$\frac{x (16 x^{3})}{x}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Raise $x$ to the power of $1$ .

$\frac{x (16 x^{3})}{x^{1}}$

Step 3.2.2

Factor $x$ out of $x^{1}$ .

$\frac{x (16 x^{3})}{x \cdot 1}$

Step 3.2.3

Cancel the common factor.

$\frac{x (16 x^{3})}{x \cdot 1}$

Step 3.2.4

Rewrite the expression.

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

Step 3.2.5

Divide $16 x^{3}$ by $1$ .

$16 x^{3}$

$16 x^{3}$

$16 x^{3}$

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