Solve 5w*3w^5y^6*2y^6

$$5 w \cdot 3 w ^ { 5 } y ^ { 6 } \cdot 2 y ^ { 6 }$$

Evaluate

$$30w^{6}y^{12}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 5 to get 6.

$$5w^{6}\times 3y^{6}\times 2y^{6}$$

To multiply powers of the same base, add their exponents. Add 6 and 6 to get 12.

$$5w^{6}\times 3y^{12}\times 2$$

Multiply 5 and 3 to get 15.

$$15w^{6}y^{12}\times 2$$

Multiply 15 and 2 to get 30.

$$30w^{6}y^{12}$$

Differentiate w.r.t. w

$$180w^{5}y^{12}$$