Solve (-2m^2)^3+m^7+m

$$( - 2 m ^ { 2 } ) ^ { 3 } + m ^ { 7 } + m$$

Evaluate

$$m^{7}-8m^{6}+m$$

Solution Steps

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

$$\left(-2\right)^{3}\left(m^{2}\right)^{3}+m^{7}+m$$

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

$$\left(-2\right)^{3}m^{6}+m^{7}+m$$

Calculate -2 to the power of 3 and get -8.

$$-8m^{6}+m^{7}+m$$

Expand

$$m^{7}-8m^{6}+m$$

Solution Steps

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

$$\left(-2\right)^{3}\left(m^{2}\right)^{3}+m^{7}+m$$

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

$$\left(-2\right)^{3}m^{6}+m^{7}+m$$

Calculate -2 to the power of 3 and get -8.

$$-8m^{6}+m^{7}+m$$