Solve (2s^3t^-2)(1/4s^7t)(16t^4

$$( 2 s ^ { 3 } t ^ { - 2 } ) ( \frac { 1 } { 4 } s ^ { 7 } t ) ( 16 t ^ { 4 }$$

Evaluate

$$8t^{3}s^{10}$$

Solution Steps

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

$$2s^{10}t^{-2}\times \frac{1}{4}t\times 16t^{4}$$

To multiply powers of the same base, add their exponents. Add -2 and 1 to get -1.

$$2s^{10}t^{-1}\times \frac{1}{4}\times 16t^{4}$$

To multiply powers of the same base, add their exponents. Add -1 and 4 to get 3.

$$2s^{10}t^{3}\times \frac{1}{4}\times 16$$

Multiply 2 and \frac{1}{4} to get \frac{1}{2}.

$$\frac{1}{2}s^{10}t^{3}\times 16$$

Multiply \frac{1}{2} and 16 to get 8.

$$8s^{10}t^{3}$$

Differentiate w.r.t. s

$$80t^{3}s^{9}$$