Solve (-m^2)^3divn

$$( - m ^ { 2 } ) ^ { 3 } \div n$$

Evaluate

$$-\frac{m^{6}}{n}$$

Solution Steps

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

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

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\frac{\left(-1\right)^{3}m^{6}}{n}$$

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

$$\frac{-m^{6}}{n}$$

Expand

$$-\frac{m^{6}}{n}$$

Solution Steps

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

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

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\frac{\left(-1\right)^{3}m^{6}}{n}$$

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

$$\frac{-m^{6}}{n}$$