Simplify (4x^3)/3*(9/x)^3

$\frac{4 x^{3}}{3} \cdot {(\frac{9}{x})}^{3}$

Step 1

Apply the product rule to $\frac{9}{x}$ .

$\frac{4 x^{3}}{3} \cdot \frac{9^{3}}{x^{3}}$

Step 2

Combine.

$\frac{4 x^{3} \cdot 9^{3}}{3 x^{3}}$

Step 3

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

Cancel the common factor.

$\frac{4 x^{3} \cdot 9^{3}}{3 x^{3}}$

Rewrite the expression.

$\frac{4 \cdot 9^{3}}{3}$

$\frac{4 \cdot 9^{3}}{3}$

Step 4

Simplify the expression.

Raise $9$ to the power of $3$ .

$\frac{4 \cdot 729}{3}$

Multiply $4$ by $729$ .

$\frac{2916}{3}$

Divide $2916$ by $3$ .

$972$

$972$

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