Solve (-w^frac{2{3}})^-3

$$( - w ^ { \frac { 2 } { 3 } } ) ^ { - 3 }$$

Evaluate

$$-\frac{1}{w^{2}}$$

Solution Steps

Expand \left(-w^{\frac{2}{3}}\right)^{-3}.

$$\left(-1\right)^{-3}\left(w^{\frac{2}{3}}\right)^{-3}$$

To raise a power to another power, multiply the exponents. Multiply \frac{2}{3} and -3 to get -2.

$$\left(-1\right)^{-3}w^{-2}$$

Calculate -1 to the power of -3 and get -1.

$$-w^{-2}$$

Expand

$$-\frac{1}{w^{2}}$$

Solution Steps

Expand \left(-w^{\frac{2}{3}}\right)^{-3}.

$$\left(-1\right)^{-3}\left(w^{\frac{2}{3}}\right)^{-3}$$

To raise a power to another power, multiply the exponents. Multiply \frac{2}{3} and -3 to get -2.

$$\left(-1\right)^{-3}w^{-2}$$

Calculate -1 to the power of -3 and get -1.

$$-w^{-2}$$