Solve 2^-4/-4-1^-4/-4

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

Evaluate

$$\frac{15}{64}=0.234375$$

Solution Steps

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

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

Express \frac{\frac{1}{16}}{-4} as a single fraction.

$$\frac{1}{16\left(-4\right)}-\frac{1^{-4}}{-4}$$

Multiply 16 and -4 to get -64.

$$\frac{1}{-64}-\frac{1^{-4}}{-4}$$

Fraction \frac{1}{-64} can be rewritten as -\frac{1}{64} by extracting the negative sign.

$$-\frac{1}{64}-\frac{1^{-4}}{-4}$$

Calculate 1 to the power of -4 and get 1.

$$-\frac{1}{64}-\frac{1}{-4}$$

Fraction \frac{1}{-4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$-\frac{1}{64}-\left(-\frac{1}{4}\right)$$

The opposite of -\frac{1}{4} is \frac{1}{4}.

$$-\frac{1}{64}+\frac{1}{4}$$

Add -\frac{1}{64} and \frac{1}{4} to get \frac{15}{64}.

$$\frac{15}{64}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {6}} = 0.234375$$