Solve 1-{left(-1/2right)}^-2+-{left(-1/3right)}^-3

$$1- { \left(- \frac{ 1 }{ 2 } \right) }^{ -2 } +- { \left(- \frac{ 1 }{ 3 } \right) }^{ -3 }$$

Evaluate

$$24$$

Solution Steps

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

$$1-4-\left(-\frac{1}{3}\right)^{-3}$$

Subtract 4 from 1 to get -3.

$$-3-\left(-\frac{1}{3}\right)^{-3}$$

Calculate -\frac{1}{3} to the power of -3 and get -27.

$$-3-\left(-27\right)$$

The opposite of -27 is 27.

$$-3+27$$

Add -3 and 27 to get 24.

$$24$$

Factor

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