Solve ((-1)^5/(-2)^-3)^2

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

Evaluate

$$64$$

Solution Steps

Calculate -1 to the power of 5 and get -1.

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

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

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

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

$$\left(-\left(-8\right)\right)^{2}$$

Multiply -1 and -8 to get 8.

$$8^{2}$$

Calculate 8 to the power of 2 and get 64.

$$64$$

Factor

$$2^{6}$$