Solve (-1/2)^-3/(-1)^-4-(-1/2)^-5/(-frac{1{-1})^-6}

$$\frac { ( - \frac { 1 } { 2 } ) ^ { - 3 } } { ( - 1 ) ^ { - 4 } } - \frac { ( - \frac { 1 } { 2 } ) ^ { - 5 } } { ( - \frac { 1 } { - 1 } ) ^ { - 6 } }$$

Evaluate

$$24$$

Solution Steps

Calculate -\frac{1}{2} to the power of -3 and get -8.

$$\frac{-8}{\left(-1\right)^{-4}}-\frac{\left(-\frac{1}{2}\right)^{-5}}{\left(-\frac{1}{-1}\right)^{-6}}$$

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

$$\frac{-8}{1}-\frac{\left(-\frac{1}{2}\right)^{-5}}{\left(-\frac{1}{-1}\right)^{-6}}$$

Anything divided by one gives itself.

$$-8-\frac{\left(-\frac{1}{2}\right)^{-5}}{\left(-\frac{1}{-1}\right)^{-6}}$$

Calculate -\frac{1}{2} to the power of -5 and get -32.

$$-8-\frac{-32}{\left(-\frac{1}{-1}\right)^{-6}}$$

Divide 1 by -1 to get -1.

$$-8-\frac{-32}{\left(-\left(-1\right)\right)^{-6}}$$

The opposite of -1 is 1.

$$-8-\frac{-32}{1^{-6}}$$

Calculate 1 to the power of -6 and get 1.

$$-8-\frac{-32}{1}$$

Anything divided by one gives itself.

$$-8-\left(-32\right)$$

The opposite of -32 is 32.

$$-8+32$$

Add -8 and 32 to get 24.

$$24$$

Factor

$$2^{3}\times 3$$