Solve (x^2y)^3/x^5

$$\frac { ( x ^ { 2 } y ) ^ { 3 } } { x ^ { 5 } }$$

Evaluate

$$xy^{3}$$

Solution Steps

Expand \left(x^{2}y\right)^{3}.

$$\frac{\left(x^{2}\right)^{3}y^{3}}{x^{5}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\frac{x^{6}y^{3}}{x^{5}}$$

Cancel out x^{5} in both numerator and denominator.

$$xy^{3}$$

Expand

$$xy^{3}$$

Solution Steps

Expand \left(x^{2}y\right)^{3}.

$$\frac{\left(x^{2}\right)^{3}y^{3}}{x^{5}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\frac{x^{6}y^{3}}{x^{5}}$$

Cancel out x^{5} in both numerator and denominator.

$$xy^{3}$$