Solve 6.67*10^-11(6*2/5*10^-2)

$$6.67 \times 10 ^ { - 11 } ( \frac { 6 \times 2 } { 5 \times 10 ^ { - 2 } } )$$

Evaluate

$$0.000000016008$$

Solution Steps

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

$$6.67\times \frac{1}{100000000000}\times \frac{6\times 2}{5\times 10^{-2}}$$

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

$$\frac{667}{10000000000000}\times \frac{6\times 2}{5\times 10^{-2}}$$

Multiply 6 and 2 to get 12.

$$\frac{667}{10000000000000}\times \frac{12}{5\times 10^{-2}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{667}{10000000000000}\times \frac{12}{5\times \frac{1}{100}}$$

Multiply 5 and \frac{1}{100} to get \frac{1}{20}.

$$\frac{667}{10000000000000}\times \frac{12}{\frac{1}{20}}$$

Divide 12 by \frac{1}{20} by multiplying 12 by the reciprocal of \frac{1}{20}.

$$\frac{667}{10000000000000}\times 12\times 20$$

Multiply 12 and 20 to get 240.

$$\frac{667}{10000000000000}\times 240$$

Multiply \frac{667}{10000000000000} and 240 to get \frac{2001}{125000000000}.

$$\frac{2001}{125000000000}$$

Factor

$$\frac{3 \cdot 23 \cdot 29}{2 ^ {9} \cdot 5 ^ {12}} = 1.6008 \times 10^{-8}$$