Solve 2*21-2+1/2^20

$$2 \times 21 - 2 + \frac { 1 } { 2 ^ { 20 } }$$

Evaluate

$$\frac{41943041}{1048576}\approx 40.000000954$$

Solution Steps

Multiply 2 and 21 to get 42.

$$42-2+\frac{1}{2^{20}}$$

Subtract 2 from 42 to get 40.

$$40+\frac{1}{2^{20}}$$

Calculate 2 to the power of 20 and get 1048576.

$$40+\frac{1}{1048576}$$

Convert 40 to fraction \frac{41943040}{1048576}.

$$\frac{41943040}{1048576}+\frac{1}{1048576}$$

Since \frac{41943040}{1048576} and \frac{1}{1048576} have the same denominator, add them by adding their numerators.

$$\frac{41943040+1}{1048576}$$

Add 41943040 and 1 to get 41943041.

$$\frac{41943041}{1048576}$$

Factor

$$\frac{7 \cdot 41 \cdot 59 \cdot 2477}{2 ^ {20}} = 40\frac{1}{1048576} = 40.000000953674316$$