Solve 6.67*10^-11*7/216

$$\frac { 6.67 \times 10 ^ { - 11 } \times 7 } { 216 }$$

Evaluate

$$\frac{4669}{2160000000000000}\approx 2.161574074 \cdot 10^{-12}$$

Solution Steps

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

$$\frac{6.67\times \frac{1}{100000000000}\times 7}{216}$$

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

$$\frac{\frac{667}{10000000000000}\times 7}{216}$$

Multiply \frac{667}{10000000000000} and 7 to get \frac{4669}{10000000000000}.

$$\frac{\frac{4669}{10000000000000}}{216}$$

Express \frac{\frac{4669}{10000000000000}}{216} as a single fraction.

$$\frac{4669}{10000000000000\times 216}$$

Multiply 10000000000000 and 216 to get 2160000000000000.

$$\frac{4669}{2160000000000000}$$

Factor

$$\frac{7 \cdot 23 \cdot 29}{2 ^ {16} \cdot 3 ^ {3} \cdot 5 ^ {13}} = 2.1615740740740743 \times 10^{-12}$$