Solve 3.8*10^-9/{(e)^7.67528*0.1}

$$\frac{ 3.8 \times { 10 }^{ -9 } }{ {(e)^{ 7.67528 \times 0.1 }} }$$

Evaluate

$$\frac{19}{5000000000e^{0.767528}}\approx 1.763804399 \cdot 10^{-9}$$

Solution Steps

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\frac{3.8\times \frac{1}{1000000000}}{e^{7.67528\times 0.1}}$$

Multiply 3.8 and \frac{1}{1000000000} to get \frac{19}{5000000000}.

$$\frac{\frac{19}{5000000000}}{e^{7.67528\times 0.1}}$$

Multiply 7.67528 and 0.1 to get 0.767528.

$$\frac{\frac{19}{5000000000}}{e^{0.767528}}$$

Express \frac{\frac{19}{5000000000}}{e^{0.767528}} as a single fraction.

$$\frac{19}{5000000000e^{0.767528}}$$