Solve 3v*2u^7*2v^6u^8

$$3 v \cdot 2 u ^ { 7 } \cdot 2 v ^ { 6 } u ^ { 8 }$$

Evaluate

$$12v^{7}u^{15}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 6 to get 7.

$$3v^{7}\times 2u^{7}\times 2u^{8}$$

To multiply powers of the same base, add their exponents. Add 7 and 8 to get 15.

$$3v^{7}\times 2u^{15}\times 2$$

Multiply 3 and 2 to get 6.

$$6v^{7}u^{15}\times 2$$

Multiply 6 and 2 to get 12.

$$12v^{7}u^{15}$$

Differentiate w.r.t. v

$$84v^{6}u^{15}$$