Solve 18u^312u^4text{y}42u

$$18 u ^ { 3 } 12 u ^ { 4 } \text { y } 42 u$$

Evaluate

$$9072yu^{8}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$18u^{7}\times 12y\times 42u$$

To multiply powers of the same base, add their exponents. Add 7 and 1 to get 8.

$$18u^{8}\times 12y\times 42$$

Multiply 18 and 12 to get 216.

$$216u^{8}y\times 42$$

Multiply 216 and 42 to get 9072.

$$9072u^{8}y$$

Differentiate w.r.t. y

$$9072u^{8}$$