Solve 4ef^4*7e^8f*3f^3=

$$4 e f ^ { 4 } \cdot 7 e ^ { 8 } f \cdot 3 f ^ { 3 } =$$

Evaluate

$$84e^{9}f^{8}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 8 to get 9.

$$4e^{9}f^{4}\times 7f\times 3f^{3}$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$4e^{9}f^{5}\times 7\times 3f^{3}$$

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$4e^{9}f^{8}\times 7\times 3$$

Multiply 4 and 7 to get 28.

$$28e^{9}f^{8}\times 3$$

Multiply 28 and 3 to get 84.

$$84e^{9}f^{8}$$

Differentiate w.r.t. f

$$672e^{9}f^{7}$$