Solve 2048*(0,5^7-1/0,5-1)=

$$2048 \cdot ( \frac { 0,5 ^ { 7 } - 1 } { 0,5 - 1 } ) =$$

Evaluate

$$4096$$

Solution Steps

Calculate 5 to the power of 7 and get 78125.

$$2048\times \frac{0\times 78125-1}{0,5-1}$$

Multiply 0 and 78125 to get 0.

$$2048\times \frac{0-1}{0,5-1}$$

Subtract 1 from 0 to get -1.

$$2048\times \frac{-1}{0,5-1}$$

Subtract 1 from 0,5 to get -0,5.

$$2048\times \frac{-1}{-0,5}$$

Expand \frac{-1}{-0,5} by multiplying both numerator and the denominator by 10.

$$2048\times \frac{-10}{-5}$$

Divide -10 by -5 to get 2.

$$2048\times 2$$

Multiply 2048 and 2 to get 4096.

$$4096$$

Factor

$$2^{12}$$