Solve 2left(1-2^9right)/1-2

$$\frac{ 2 \left( 1- { 2 }^{ 9 } \right) }{ 1-2 }$$

Evaluate

$$1022$$

Solution Steps

Calculate 2 to the power of 9 and get 512.

$$\frac{2\left(1-512\right)}{1-2}$$

Subtract 512 from 1 to get -511.

$$\frac{2\left(-511\right)}{1-2}$$

Multiply 2 and -511 to get -1022.

$$\frac{-1022}{1-2}$$

Subtract 2 from 1 to get -1.

$$\frac{-1022}{-1}$$

Fraction \frac{-1022}{-1} can be simplified to 1022 by removing the negative sign from both the numerator and the denominator.

$$1022$$

Factor

$$2\times 7\times 73$$