Solve (x^2y^5/xy^6)^-2

$$( \frac { x ^ { 2 } y ^ { 5 } } { x y ^ { 6 } } ) ^ { - 2 }$$

Evaluate

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

Solution Steps

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

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

To raise \frac{x}{y} to a power, raise both numerator and denominator to the power and then divide.

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

Expand

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

Solution Steps

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

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

To raise \frac{x}{y} to a power, raise both numerator and denominator to the power and then divide.

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