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

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

Evaluate

$$\frac{84v^{6}w^{10}}{x}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

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

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

$$6v^{6}x^{-1}\times 2w^{3}\times 7w^{7}$$

To multiply powers of the same base, add their exponents. Add 3 and 7 to get 10.

$$6v^{6}x^{-1}\times 2w^{10}\times 7$$

Multiply 6 and 2 to get 12.

$$12v^{6}x^{-1}w^{10}\times 7$$

Multiply 12 and 7 to get 84.

$$84v^{6}x^{-1}w^{10}$$

Differentiate w.r.t. x

$$-\frac{84v^{6}w^{10}}{x^{2}}$$