Solve 36div(2^100-1)

$$36 \div ( { 2 }^{ 100 } -1)$$

Evaluate

$$\frac{12}{422550200076076467165567735125}\approx 2.839899259 \cdot 10^{-29}$$

Solution Steps

Calculate 2 to the power of 100 and get 1267650600228229401496703205376.

$$\frac{36}{1267650600228229401496703205376-1}$$

Subtract 1 from 1267650600228229401496703205376 to get 1267650600228229401496703205375.

$$\frac{36}{1267650600228229401496703205375}$$

Reduce the fraction \frac{36}{1267650600228229401496703205375} to lowest terms by extracting and canceling out 3.

$$\frac{12}{422550200076076467165567735125}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{5 ^ {3} \cdot 11 \cdot 31 \cdot 41 \cdot 101 \cdot 251 \cdot 601 \cdot 1801 \cdot 4051 \cdot 8101 \cdot 268501} = 2.8398992587956426 \times 10^{-29}$$