Solve 2^-4/-2^4

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

Evaluate

$$-\frac{1}{256}=-0.00390625$$

Solution Steps

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

$$\frac{\frac{1}{16}}{-2^{4}}$$

Calculate 2 to the power of 4 and get 16.

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

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

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

Multiply 16 and -16 to get -256.

$$\frac{1}{-256}$$

Fraction \frac{1}{-256} can be rewritten as -\frac{1}{256} by extracting the negative sign.

$$-\frac{1}{256}$$

Factor

$$-\frac{1}{256} = -0.00390625$$