Solve -6t^{3}u^2v^11*1/2tu^2v^4

$$- 6 t ^ { 3 } u ^ { 2 } v ^ { 11 } \cdot \frac { 1 } { 2 } t u ^ { 2 } v ^ { 4 }$$

Evaluate

$$-3\left(tu\right)^{4}v^{15}$$

Solution Steps

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

$$-6t^{4}u^{2}v^{11}\times \frac{1}{2}u^{2}v^{4}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$-6t^{4}u^{4}v^{11}\times \frac{1}{2}v^{4}$$

To multiply powers of the same base, add their exponents. Add 11 and 4 to get 15.

$$-6t^{4}u^{4}v^{15}\times \frac{1}{2}$$

Multiply -6 and \frac{1}{2} to get -3.

$$-3t^{4}u^{4}v^{15}$$

Differentiate w.r.t. t

$$-12t^{3}u^{4}v^{15}$$