Solve 6u^{4}y^3*3y^-4v^7*2u^5v

$$6 u ^ { 4 } y ^ { 3 } \cdot 3 y ^ { - 4 } v ^ { 7 } \cdot 2 u ^ { 5 } v$$

Evaluate

$$\frac{36v^{8}u^{9}}{y}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 5 to get 9.

$$6u^{9}y^{3}\times 3y^{-4}v^{7}\times 2v$$

To multiply powers of the same base, add their exponents. Add 3 and -4 to get -1.

$$6u^{9}y^{-1}\times 3v^{7}\times 2v$$

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

$$6u^{9}y^{-1}\times 3v^{8}\times 2$$

Multiply 6 and 3 to get 18.

$$18u^{9}y^{-1}v^{8}\times 2$$

Multiply 18 and 2 to get 36.

$$36u^{9}y^{-1}v^{8}$$

Differentiate w.r.t. u

$$\frac{324\left(uv\right)^{8}}{y}$$