Evaluate 4/3pi(2r)^3

$\frac{4}{3} π {(2 r)}^{3}$

Step 1

Apply the product rule to $2 r$ .

$\frac{4}{3} \cdot (π (2^{3} r^{3}))$

Step 2

Raise $2$ to the power of $3$ .

$\frac{4}{3} \cdot (π (8 r^{3}))$

Step 3

Move $8$ to the left of $π$ .

$\frac{4}{3} \cdot (8 \cdot π r^{3})$

Step 4

Multiply $\frac{4}{3} (8 π r^{3})$ .

Combine $8$ and $\frac{4}{3}$ .

$\frac{8 \cdot 4}{3} (π r^{3})$

Multiply $8$ by $4$ .

$\frac{32}{3} (π r^{3})$

Combine $π$ and $\frac{32}{3}$ .

$\frac{π \cdot 32}{3} r^{3}$

Combine $\frac{π \cdot 32}{3}$ and $r^{3}$ .

$\frac{π \cdot 32 r^{3}}{3}$

$\frac{π \cdot 32 r^{3}}{3}$

Step 5

Move $32$ to the left of $π$ .

$\frac{32 π r^{3}}{3}$

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