Solve 6wk^-3*3w^-5k^6

$$6 w k ^ { - 3 } \cdot 3 w ^ { - 5 } k ^ { 6 }$$

Evaluate

$$\frac{18k^{3}}{w^{4}}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$6^{1}w^{1}k^{-3}\times 3^{1}w^{-5}k^{6}$$

Use the Commutative Property of Multiplication.

$$6^{1}\times 3^{1}w^{1}w^{-5}k^{-3}k^{6}$$

To multiply powers of the same base, add their exponents.

$$6^{1}\times 3^{1}w^{1-5}k^{-3+6}$$

Add the exponents 1 and -5.

$$6^{1}\times 3^{1}w^{-4}k^{-3+6}$$

Add the exponents -3 and 6.

$$6^{1}\times 3^{1}\times \frac{1}{w^{4}}k^{3}$$

Multiply 6 times 3.

$$18\times \frac{1}{w^{4}}k^{3}$$

Differentiate w.r.t. k

$$\frac{54k^{2}}{w^{4}}$$