Solve 5v^{9}y^7u^4*5y^-6v*2u^-3

$$5 v ^ { 9 } y ^ { 7 } u ^ { 4 } \cdot 5 y ^ { - 6 } v \cdot 2 u ^ { - 3 }$$

Evaluate

$$50uyv^{10}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 1 to get 10.

$$5v^{10}y^{7}u^{4}\times 5y^{-6}\times 2u^{-3}$$

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

$$5v^{10}y^{1}u^{4}\times 5\times 2u^{-3}$$

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

$$5v^{10}y^{1}u^{1}\times 5\times 2$$

Calculate y to the power of 1 and get y.

$$5v^{10}yu^{1}\times 5\times 2$$

Calculate u to the power of 1 and get u.

$$5v^{10}yu\times 5\times 2$$

Multiply 5 and 5 to get 25.

$$25v^{10}yu\times 2$$

Multiply 25 and 2 to get 50.

$$50v^{10}yu$$

Differentiate w.r.t. u

$$50yv^{10}$$