Solve 18y^5u^215y^5v^8{u}^4

$$18 { y }^{ 5 } { u }^{ 2 } 15 { y }^{ 5 } { v }^{ 8 } { u }^{ 4 }$$

Evaluate

$$270u^{6}v^{8}y^{10}$$

Solution Steps

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

$$18y^{10}u^{2}\times 15v^{8}u^{4}$$

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$18y^{10}u^{6}\times 15v^{8}$$

Multiply 18 and 15 to get 270.

$$270y^{10}u^{6}v^{8}$$

Differentiate w.r.t. v

$$2160u^{6}v^{7}y^{10}$$