Solve 5/5{frac{5/556^2}}

$$\frac{ 5 }{ \frac{ 5 }{ \frac{ 5 }{ { 556 }^{ 2 } } } }$$

Evaluate

$$\frac{5}{309136}\approx 0.000016174$$

Solution Steps

Divide 5 by \frac{5}{\frac{5}{556^{2}}} by multiplying 5 by the reciprocal of \frac{5}{\frac{5}{556^{2}}}.

$$\frac{5\times \frac{5}{556^{2}}}{5}$$

Cancel out 5 and 5.

$$\frac{5}{556^{2}}$$

Calculate 556 to the power of 2 and get 309136.

$$\frac{5}{309136}$$

Factor

$$\frac{5}{2 ^ {4} \cdot 139 ^ {2}} = 1.6174111070855544 \times 10^{-5}$$