Solve 2(1-2^20)/1-2

$$\frac { 2 ( 1 - 2 ^ { 20 } ) } { 1 - 2 }$$

Evaluate

$$2097150$$

Solution Steps

Calculate 2 to the power of 20 and get 1048576.

$$\frac{2\left(1-1048576\right)}{1-2}$$

Subtract 1048576 from 1 to get -1048575.

$$\frac{2\left(-1048575\right)}{1-2}$$

Multiply 2 and -1048575 to get -2097150.

$$\frac{-2097150}{1-2}$$

Subtract 2 from 1 to get -1.

$$\frac{-2097150}{-1}$$

Fraction \frac{-2097150}{-1} can be simplified to 2097150 by removing the negative sign from both the numerator and the denominator.

$$2097150$$

Factor

$$2\times 3\times 5^{2}\times 11\times 31\times 41$$