Solve -4^2-(-2^3):-2^-3-3

$$- 4 ^ { 2 } - ( - 2 ^ { 3 } ) : - 2 ^ { - 3 } - 3$$

Evaluate

$$-83$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$-16-\frac{-2^{3}}{-2^{-3}}-3$$

Calculate 2 to the power of 3 and get 8.

$$-16-\frac{-8}{-2^{-3}}-3$$

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

$$-16-\frac{-8}{-\frac{1}{8}}-3$$

Divide -8 by -\frac{1}{8} by multiplying -8 by the reciprocal of -\frac{1}{8}.

$$-16-\left(-8\left(-8\right)\right)-3$$

Multiply -8 and -8 to get 64.

$$-16-64-3$$

Subtract 64 from -16 to get -80.

$$-80-3$$

Subtract 3 from -80 to get -83.

$$-83$$

Factor

$$-83$$