Solve D=10,5*e^-frac{3,7{4400*8,01*10^-1}}

$$D = 10,5 \cdot e ^ { - \frac { 3,7 } { 4400 \cdot 8,01 \cdot 10 ^ { - 1 } } }$$

Solve for D

$$D=\frac{21}{2e^{\frac{37}{35244}}}\approx 10.488982631$$

Solution Steps

Multiply 4400 and 8,01 to get 35244.

$$D=10,5e^{-\frac{3,7}{35244\times 10^{-1}}}$$

Calculate 10 to the power of -1 and get \frac{1}{10}.

$$D=10,5e^{-\frac{3,7}{35244\times \frac{1}{10}}}$$

Multiply 35244 and \frac{1}{10} to get \frac{17622}{5}.

$$D=10,5e^{-\frac{3,7}{\frac{17622}{5}}}$$

Divide 3,7 by \frac{17622}{5} by multiplying 3,7 by the reciprocal of \frac{17622}{5}.

$$D=10,5e^{-3,7\times \frac{5}{17622}}$$

Multiply 3,7 and \frac{5}{17622} to get \frac{37}{35244}.

$$D=10,5e^{-\frac{37}{35244}}$$

Assign D

$$D≔\frac{21}{2e^{\frac{37}{35244}}}$$