Solve 8y^9*2v^6y^6*2v

$$8 y ^ { 9 } \cdot 2 v ^ { 6 } y ^ { 6 } \cdot 2 v$$

Evaluate

$$32v^{7}y^{15}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 6 to get 15.

$$8y^{15}\times 2v^{6}\times 2v$$

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

$$8y^{15}\times 2v^{7}\times 2$$

Multiply 8 and 2 to get 16.

$$16y^{15}v^{7}\times 2$$

Multiply 16 and 2 to get 32.

$$32y^{15}v^{7}$$

Differentiate w.r.t. y

$$480v^{7}y^{14}$$