Solve (-5w^3/u)^3

$$( \frac { - 5 w ^ { 3 } } { u } ) ^ { 3 }$$

Evaluate

$$-\frac{125w^{9}}{u^{3}}$$

Solution Steps

To raise \frac{-5w^{3}}{u} to a power, raise both numerator and denominator to the power and then divide.

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

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

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

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$\frac{\left(-5\right)^{3}w^{9}}{u^{3}}$$

Calculate -5 to the power of 3 and get -125.

$$\frac{-125w^{9}}{u^{3}}$$

Expand

$$-\frac{125w^{9}}{u^{3}}$$

Solution Steps

To raise \frac{-5w^{3}}{u} to a power, raise both numerator and denominator to the power and then divide.

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

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

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

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$\frac{\left(-5\right)^{3}w^{9}}{u^{3}}$$

Calculate -5 to the power of 3 and get -125.

$$\frac{-125w^{9}}{u^{3}}$$