Solve 1.602*10^-19*0.01*(0.182)^2/2000

$$\frac { 1.602 \times 10 ^ { - 19 } \times 0.01 \times ( 0.182 ) ^ { 2 } } { 2000 }$$

Evaluate

$$0.000000000000000000000000026532324$$

Solution Steps

Calculate 10 to the power of -19 and get \frac{1}{10000000000000000000}.

$$\frac{1.602\times \frac{1}{10000000000000000000}\times 0.01\times 0.182^{2}}{2000}$$

Multiply 1.602 and \frac{1}{10000000000000000000} to get \frac{801}{5000000000000000000000}.

$$\frac{\frac{801}{5000000000000000000000}\times 0.01\times 0.182^{2}}{2000}$$

Multiply \frac{801}{5000000000000000000000} and 0.01 to get \frac{801}{500000000000000000000000}.

$$\frac{\frac{801}{500000000000000000000000}\times 0.182^{2}}{2000}$$

Calculate 0.182 to the power of 2 and get 0.033124.

$$\frac{\frac{801}{500000000000000000000000}\times 0.033124}{2000}$$

Multiply \frac{801}{500000000000000000000000} and 0.033124 to get \frac{6633081}{125000000000000000000000000000}.

$$\frac{\frac{6633081}{125000000000000000000000000000}}{2000}$$

Express \frac{\frac{6633081}{125000000000000000000000000000}}{2000} as a single fraction.

$$\frac{6633081}{125000000000000000000000000000\times 2000}$$

Multiply 125000000000000000000000000000 and 2000 to get 250000000000000000000000000000000.

$$\frac{6633081}{250000000000000000000000000000000}$$

Factor

$$\frac{89 \cdot 3 ^ {2} \cdot 7 ^ {2} \cdot 13 ^ {2}}{2 ^ {31} \cdot 5 ^ {33}} = 2.6532324000000003 \times 10^{-26}$$