Solve 50*0,04*e^{2}*e*e^3*f^2*f^2*f^2=

$$50 \cdot 0,04 \cdot e ^ { 2 } \cdot e \cdot e ^ { 3 } \cdot f ^ { 2 } \cdot f ^ { 2 } \cdot f ^ { 2 } =$$

Evaluate

$$2\left(ef\right)^{6}$$

Solution Steps

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

$$50\times 0,04e^{3}e^{3}f^{2}f^{2}f^{2}$$

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

$$50\times 0,04e^{6}f^{2}f^{2}f^{2}$$

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

$$50\times 0,04e^{6}f^{4}f^{2}$$

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

$$50\times 0,04e^{6}f^{6}$$

Multiply 50 and 0,04 to get 2.

$$2e^{6}f^{6}$$

Differentiate w.r.t. f

$$12e^{6}f^{5}$$