Solve 3w^-8y^7v^-1v*4w^-2*3y

$$3 w ^ { - 8 } y ^ { 7 } v ^ { - 1 } v \cdot 4 w ^ { - 2 } \cdot 3 y$$

Evaluate

$$\frac{36y^{8}}{w^{10}}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -8 and -2 to get -10.

$$3w^{-10}y^{7}v^{-1}v\times 4\times 3y$$

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

$$3w^{-10}y^{8}v^{-1}v\times 4\times 3$$

Multiply v^{-1} and v to get 1.

$$3w^{-10}y^{8}\times 4\times 3$$

Multiply 3 and 4 to get 12.

$$12w^{-10}y^{8}\times 3$$

Multiply 12 and 3 to get 36.

$$36w^{-10}y^{8}$$

Differentiate w.r.t. w

$$-\frac{360y^{8}}{w^{11}}$$