Solve 610^-4/22.46

$$\frac{ 6 { 10 }^{ -4 } }{ 22.4 } 6$$

Evaluate

$$\frac{9}{56000}\approx 0.000160714$$

Solution Steps

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{6\times \frac{1}{10000}}{22.4}\times 6$$

Multiply 6 and \frac{1}{10000} to get \frac{3}{5000}.

$$\frac{\frac{3}{5000}}{22.4}\times 6$$

Express \frac{\frac{3}{5000}}{22.4} as a single fraction.

$$\frac{3}{5000\times 22.4}\times 6$$

Multiply 5000 and 22.4 to get 112000.

$$\frac{3}{112000}\times 6$$

Multiply \frac{3}{112000} and 6 to get \frac{9}{56000}.

$$\frac{9}{56000}$$

Factor

$$\frac{3 ^ {2}}{7 \cdot 2 ^ {6} \cdot 5 ^ {3}} = 0.0001607142857142857$$