Solve m^3*m^6+(-m^3)^3

$$m ^ { 3 } \cdot m ^ { 6 } + ( - m ^ { 3 } ) ^ { 3 }$$

Evaluate

$$0$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 6 to get 9.

$$m^{9}+\left(-m^{3}\right)^{3}$$

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

$$m^{9}+\left(-1\right)^{3}\left(m^{3}\right)^{3}$$

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

$$m^{9}+\left(-1\right)^{3}m^{9}$$

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

$$m^{9}-m^{9}$$

Combine m^{9} and -m^{9} to get 0.

$$0$$

Factor

$$0$$