Solve (-m^3)^2pm^4

$$( - m ^ { 3 } ) ^ { 2 } p m ^ { 4 }$$

Evaluate

$$pm^{10}$$

Solution Steps

Calculate -m^{3} to the power of 2 and get \left(m^{3}\right)^{2}.

$$\left(m^{3}\right)^{2}pm^{4}$$

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

$$m^{6}pm^{4}$$

To multiply powers of the same base, add their exponents. Add 6 and 4 to get 10.

$$m^{10}p$$

Expand

$$pm^{10}$$

Solution Steps

Calculate -m^{3} to the power of 2 and get \left(m^{3}\right)^{2}.

$$\left(m^{3}\right)^{2}pm^{4}$$

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

$$m^{6}pm^{4}$$

To multiply powers of the same base, add their exponents. Add 6 and 4 to get 10.

$$m^{10}p$$