Solve 1-2^-4/1-2

$$\frac { 1 - 2 ^ { - 4 } } { 1 - 2 }$$

Evaluate

$$-\frac{15}{16}=-0.9375$$

Solution Steps

Calculate 2 to the power of -4 and get \frac{1}{16}.

$$\frac{1-\frac{1}{16}}{1-2}$$

Subtract \frac{1}{16} from 1 to get \frac{15}{16}.

$$\frac{\frac{15}{16}}{1-2}$$

Subtract 2 from 1 to get -1.

$$\frac{\frac{15}{16}}{-1}$$

Express \frac{\frac{15}{16}}{-1} as a single fraction.

$$\frac{15}{16\left(-1\right)}$$

Multiply 16 and -1 to get -16.

$$\frac{15}{-16}$$

Fraction \frac{15}{-16} can be rewritten as -\frac{15}{16} by extracting the negative sign.

$$-\frac{15}{16}$$

Factor

$$-\frac{15}{16} = -0.9375$$