Simplify ((2xy)^3)/(x^3)

$\frac{{(2 x y)}^{3}}{x^{3}}$

Step 1

Simplify the numerator.

Apply the product rule to $2 x y$ .

$\frac{{(2 x)}^{3} y^{3}}{x^{3}}$

Apply the product rule to $2 x$ .

$\frac{2^{3} x^{3} y^{3}}{x^{3}}$

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

$\frac{8 x^{3} y^{3}}{x^{3}}$

$\frac{8 x^{3} y^{3}}{x^{3}}$

Step 2

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

Cancel the common factor.

$\frac{8 x^{3} y^{3}}{x^{3}}$

Divide $8 y^{3}$ by $1$ .

$8 y^{3}$

$8 y^{3}$

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