Solve (3t^5s^-2)(4t^-6s^4)=

$$( 3 t ^ { 5 } s ^ { - 2 } ) ( 4 t ^ { - 6 } s ^ { 4 } ) =$$

Evaluate

$$\frac{12s^{2}}{t}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$3^{1}t^{5}s^{-2}\times 4^{1}t^{-6}s^{4}$$

Use the Commutative Property of Multiplication.

$$3^{1}\times 4^{1}t^{5}t^{-6}s^{-2}s^{4}$$

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

$$3^{1}\times 4^{1}t^{5-6}s^{-2+4}$$

Add the exponents 5 and -6.

$$3^{1}\times 4^{1}\times \frac{1}{t}s^{-2+4}$$

Add the exponents -2 and 4.

$$3^{1}\times 4^{1}\times \frac{1}{t}s^{2}$$

Multiply 3 times 4.

$$12\times \frac{1}{t}s^{2}$$

Differentiate w.r.t. s

$$\frac{24s}{t}$$