Simplify ((2r^5w^3)/(r^4w^3))^4

${(\frac{2 r^{5} w^{3}}{r^{4} w^{3}})}^{4}$

Step 1

Cancel the common factor of $r^{5}$ and $r^{4}$ .

Factor $r^{4}$ out of $2 r^{5} w^{3}$ .

${(\frac{r^{4} (2 r w^{3})}{r^{4} w^{3}})}^{4}$

Cancel the common factors.

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

${(\frac{r^{4} (2 r w^{3})}{r^{4} (w^{3})})}^{4}$

Cancel the common factor.

${(\frac{r^{4} (2 r w^{3})}{r^{4} w^{3}})}^{4}$

Rewrite the expression.

${(\frac{2 r w^{3}}{w^{3}})}^{4}$

${(\frac{2 r w^{3}}{w^{3}})}^{4}$

${(\frac{2 r w^{3}}{w^{3}})}^{4}$

Step 2

Cancel the common factor of $w^{3}$ .

Cancel the common factor.

${(\frac{2 r w^{3}}{w^{3}})}^{4}$

Divide $2 r$ by $1$ .

${(2 r)}^{4}$

${(2 r)}^{4}$

Step 3

Simplify the expression.

Apply the product rule to $2 r$ .

$2^{4} r^{4}$

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

$16 r^{4}$

$16 r^{4}$

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