Solve 4y*2y^6u^6*2u^9

$$4 y \cdot 2 y ^ { 6 } u ^ { 6 } \cdot 2 u ^ { 9 }$$

Evaluate

$$16y^{7}u^{15}$$

Solution Steps

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

$$4y^{7}\times 2u^{6}\times 2u^{9}$$

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

$$4y^{7}\times 2u^{15}\times 2$$

Multiply 4 and 2 to get 8.

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

Multiply 8 and 2 to get 16.

$$16y^{7}u^{15}$$

Differentiate w.r.t. y

$$112y^{6}u^{15}$$