Solve 3w^8v^5*3v^5*4w

$$3 w ^ { 8 } v ^ { 5 } \cdot 3 v ^ { 5 } \cdot 4 w$$

Evaluate

$$36w^{9}v^{10}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and 1 to get 9.

$$3w^{9}v^{5}\times 3v^{5}\times 4$$

To multiply powers of the same base, add their exponents. Add 5 and 5 to get 10.

$$3w^{9}v^{10}\times 3\times 4$$

Multiply 3 and 3 to get 9.

$$9w^{9}v^{10}\times 4$$

Multiply 9 and 4 to get 36.

$$36w^{9}v^{10}$$

Differentiate w.r.t. w

$$324w^{8}v^{10}$$