Algebra Examples

$\frac{r^{4}}{{(3 r)}^{3}}$

Step 1

Simplify the denominator.

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Step 1.1

Apply the product rule to $3 r$ .

$\frac{r^{4}}{3^{3} r^{3}}$

Step 1.2

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

$\frac{r^{4}}{27 r^{3}}$

$\frac{r^{4}}{27 r^{3}}$

Step 2

Cancel the common factor of $r^{4}$ and $r^{3}$ .

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Step 2.1

Factor $r^{3}$ out of $r^{4}$ .

$\frac{r^{3} r}{27 r^{3}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $r^{3}$ out of $27 r^{3}$ .

$\frac{r^{3} r}{r^{3} \cdot 27}$

Step 2.2.2

Cancel the common factor.

$\frac{r^{3} r}{r^{3} \cdot 27}$

Step 2.2.3

Rewrite the expression.

$\frac{r}{27}$

$\frac{r}{27}$

$\frac{r}{27}$

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