Solve 6.67*10^-11/3^2

$$\frac { 6.67 \times 10 ^ { - 11 } } { 3 ^ { 2 } }$$

Evaluate

$$\frac{667}{90000000000000}\approx 7.411111111 \cdot 10^{-12}$$

Solution Steps

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

$$\frac{6.67\times \frac{1}{100000000000}}{3^{2}}$$

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

$$\frac{\frac{667}{10000000000000}}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{\frac{667}{10000000000000}}{9}$$

Express \frac{\frac{667}{10000000000000}}{9} as a single fraction.

$$\frac{667}{10000000000000\times 9}$$

Multiply 10000000000000 and 9 to get 90000000000000.

$$\frac{667}{90000000000000}$$

Factor

$$\frac{23 \cdot 29}{2 ^ {13} \cdot 3 ^ {2} \cdot 5 ^ {13}} = 7.411111111111112 \times 10^{-12}$$