Solve (-y/y)^frac{5{3}}

$$( \frac { - y } { y } ) ^ { \frac { 5 } { 3 } }$$

Evaluate

$$-1$$

Solution Steps

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

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

Expand \left(-y\right)^{\frac{5}{3}}.

$$\frac{\left(-1\right)^{\frac{5}{3}}y^{\frac{5}{3}}}{y^{\frac{5}{3}}}$$

Calculate -1 to the power of \frac{5}{3} and get -1.

$$\frac{-y^{\frac{5}{3}}}{y^{\frac{5}{3}}}$$

Cancel out y^{\frac{5}{3}} in both numerator and denominator.

$$-1$$

Factor

$$-1$$