Solve (6,9*10^-2)/5*10^-3

$$( 6,9 \cdot 10 ^ { - 2 } ) / 5 \cdot 10 ^ { - 3 }$$

Evaluate

$$0,0000138$$

Solution Steps

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

$$\frac{6,9\times \frac{1}{100}}{5}\times 10^{-3}$$

Multiply 6,9 and \frac{1}{100} to get \frac{69}{1000}.

$$\frac{\frac{69}{1000}}{5}\times 10^{-3}$$

Express \frac{\frac{69}{1000}}{5} as a single fraction.

$$\frac{69}{1000\times 5}\times 10^{-3}$$

Multiply 1000 and 5 to get 5000.

$$\frac{69}{5000}\times 10^{-3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{69}{5000}\times \frac{1}{1000}$$

Multiply \frac{69}{5000} and \frac{1}{1000} to get \frac{69}{5000000}.

$$\frac{69}{5000000}$$

Factor

$$\frac{3 \cdot 23}{2 ^ {6} \cdot 5 ^ {7}} = 1.38 \times 10^{-5}$$