Solve x^20y^15/(x^5y)^6

$$\frac { x ^ { 20 } y ^ { 15 } } { ( x ^ { 5 } y ) ^ { 6 } }$$

Evaluate

$$\frac{y^{9}}{x^{10}}$$

Solution Steps

Expand \left(x^{5}y\right)^{6}.

$$\frac{x^{20}y^{15}}{\left(x^{5}\right)^{6}y^{6}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 6 to get 30.

$$\frac{x^{20}y^{15}}{x^{30}y^{6}}$$

Cancel out y^{6}x^{20} in both numerator and denominator.

$$\frac{y^{9}}{x^{10}}$$

Expand

$$\frac{y^{9}}{x^{10}}$$

Solution Steps

Expand \left(x^{5}y\right)^{6}.

$$\frac{x^{20}y^{15}}{\left(x^{5}\right)^{6}y^{6}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 6 to get 30.

$$\frac{x^{20}y^{15}}{x^{30}y^{6}}$$

Cancel out y^{6}x^{20} in both numerator and denominator.

$$\frac{y^{9}}{x^{10}}$$