Solve 2^16-2^15/2^17+2^18

$$\frac { 2 ^ { 16 } - 2 ^ { 15 } } { 2 ^ { 17 } + 2 ^ { 18 } }$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Calculate 2 to the power of 16 and get 65536.

$$\frac{65536-2^{15}}{2^{17}+2^{18}}$$

Calculate 2 to the power of 15 and get 32768.

$$\frac{65536-32768}{2^{17}+2^{18}}$$

Subtract 32768 from 65536 to get 32768.

$$\frac{32768}{2^{17}+2^{18}}$$

Calculate 2 to the power of 17 and get 131072.

$$\frac{32768}{131072+2^{18}}$$

Calculate 2 to the power of 18 and get 262144.

$$\frac{32768}{131072+262144}$$

Add 131072 and 262144 to get 393216.

$$\frac{32768}{393216}$$

Reduce the fraction \frac{32768}{393216} to lowest terms by extracting and canceling out 32768.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$