Solve -2^-2/-2^3+-2^0

$$\frac{ { -2 }^{ -2 } }{ { -2 }^{ 3 } } + { -2 }^{ 0 }$$

Evaluate

$$\frac{31}{32}=0.96875$$

Solution Steps

Rewrite \left(-2\right)^{3} as \left(-2\right)^{-2}\left(-2\right)^{5}. Cancel out \left(-2\right)^{-2} in both numerator and denominator.

$$\frac{1}{\left(-2\right)^{5}}+\left(-2\right)^{0}$$

Calculate -2 to the power of 5 and get -32.

$$\frac{1}{-32}+\left(-2\right)^{0}$$

Fraction \frac{1}{-32} can be rewritten as -\frac{1}{32} by extracting the negative sign.

$$-\frac{1}{32}+\left(-2\right)^{0}$$

Calculate -2 to the power of 0 and get 1.

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

Add -\frac{1}{32} and 1 to get \frac{31}{32}.

$$\frac{31}{32}$$

Factor

$$\frac{31}{2 ^ {5}} = 0.96875$$