Simplify (r^4)/((3r)^3)

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

Step 1

Simplify the denominator.

Apply the product rule to $3 r$ .

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

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 $r^{3}$ .

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{r}{27}$

$\frac{r}{27}$

$\frac{r}{27}$

Related Questions