Solve 6uw^-3*4uw

$$6 u w ^ { - 3 } \times 4 u w$$

Evaluate

$$24\times \left(\frac{u}{w}\right)^{2}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 1 and 1.

$$6^{1}\times 4^{1}u^{2}w^{-3+1}$$

Add the exponents -3 and 1.

$$6^{1}\times 4^{1}u^{2}w^{-2}$$

Multiply 6 times 4.

$$24u^{2}\times \frac{1}{w^{2}}$$

Differentiate w.r.t. u

$$\frac{48u}{w^{2}}$$