Solve 2y^{-5}w^-7*6w^6v^2*3vy^-5

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

Evaluate

$$\frac{36v^{3}}{wy^{10}}$$

Solution Steps

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

$$2y^{-10}w^{-7}\times 6w^{6}v^{2}\times 3v$$

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

$$2y^{-10}w^{-1}\times 6v^{2}\times 3v$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$2y^{-10}w^{-1}\times 6v^{3}\times 3$$

Multiply 2 and 6 to get 12.

$$12y^{-10}w^{-1}v^{3}\times 3$$

Multiply 12 and 3 to get 36.

$$36y^{-10}w^{-1}v^{3}$$

Differentiate w.r.t. y

$$-\frac{360v^{3}}{wy^{11}}$$