Solve 2m^2(-2mn)*(-1/2m^2n^3)

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

Evaluate

$$2n^{4}m^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

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

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$2m^{5}\left(-2\right)n\left(-\frac{1}{2}\right)n^{3}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$2m^{5}\left(-2\right)n^{4}\left(-\frac{1}{2}\right)$$

Multiply 2 and -2 to get -4.

$$-4m^{5}n^{4}\left(-\frac{1}{2}\right)$$

Multiply -4 and -\frac{1}{2} to get 2.

$$2m^{5}n^{4}$$

Differentiate w.r.t. n

$$8n^{3}m^{5}$$