Solve 2^10-2^11/2^97-1

$$\frac { 2 ^ { 10 } - 2 ^ { 11 } } { 2 ^ { 97 } - 1 }$$

Evaluate

$$-\frac{1024}{158456325028528675187087900671}\approx -6.462348536 \cdot 10^{-27}$$

Solution Steps

Calculate 2 to the power of 10 and get 1024.

$$\frac{1024-2^{11}}{2^{97}-1}$$

Calculate 2 to the power of 11 and get 2048.

$$\frac{1024-2048}{2^{97}-1}$$

Subtract 2048 from 1024 to get -1024.

$$\frac{-1024}{2^{97}-1}$$

Calculate 2 to the power of 97 and get 158456325028528675187087900672.

$$\frac{-1024}{158456325028528675187087900672-1}$$

Subtract 1 from 158456325028528675187087900672 to get 158456325028528675187087900671.

$$\frac{-1024}{158456325028528675187087900671}$$

Fraction \frac{-1024}{158456325028528675187087900671} can be rewritten as -\frac{1024}{158456325028528675187087900671} by extracting the negative sign.

$$-\frac{1024}{158456325028528675187087900671}$$

Factor

$$-\frac{1024}{158456325028528675187087900671} = -6.462348535570529 \times 10^{-27}$$