Solve 15s^{8}t^3div5s^2t^2*2st^4

$$15 s ^ { 8 } t ^ { 3 } \div 5 s ^ { 2 } t ^ { 2 } \times 2 s t ^ { 4 }$$

Evaluate

$$6t^{9}s^{11}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{15s^{8}t^{3}}{5}s^{3}t^{2}\times 2t^{4}$$

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$\frac{15s^{8}t^{3}}{5}s^{3}t^{6}\times 2$$

Divide 15s^{8}t^{3} by 5 to get 3s^{8}t^{3}.

$$3s^{8}t^{3}s^{3}t^{6}\times 2$$

To multiply powers of the same base, add their exponents. Add 8 and 3 to get 11.

$$3s^{11}t^{3}t^{6}\times 2$$

To multiply powers of the same base, add their exponents. Add 3 and 6 to get 9.

$$3s^{11}t^{9}\times 2$$

Multiply 3 and 2 to get 6.

$$6s^{11}t^{9}$$

Differentiate w.r.t. s

$$66t^{9}s^{10}$$