Solve 6.6710^-11200*400/16000000

$$\frac{ 6.67 { 10 }^{ -11 } 200 \cdot 400 }{ 16000000 }$$

Evaluate

$$0.0000000000003335$$

Solution Steps

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{6.67\times \frac{1}{100000000000}\times 200\times 400}{16000000}$$

Multiply 6.67 and \frac{1}{100000000000} to get \frac{667}{10000000000000}.

$$\frac{\frac{667}{10000000000000}\times 200\times 400}{16000000}$$

Multiply \frac{667}{10000000000000} and 200 to get \frac{667}{50000000000}.

$$\frac{\frac{667}{50000000000}\times 400}{16000000}$$

Multiply \frac{667}{50000000000} and 400 to get \frac{667}{125000000}.

$$\frac{\frac{667}{125000000}}{16000000}$$

Express \frac{\frac{667}{125000000}}{16000000} as a single fraction.

$$\frac{667}{125000000\times 16000000}$$

Multiply 125000000 and 16000000 to get 2000000000000000.

$$\frac{667}{2000000000000000}$$

Factor

$$\frac{23 \cdot 29}{2 ^ {16} \cdot 5 ^ {15}} = 3.335 \times 10^{-13}$$