Solve (-2)^-25div(-2)^3+(-2)^0

$$( - 2 ) ^ { - 25 } \div ( - 2 ) ^ { 3 } + ( - 2 ) ^ { 0 }$$

Evaluate

$$\frac{268435457}{268435456}=1.000000004$$

Solution Steps

Rewrite \left(-2\right)^{3} as \left(-2\right)^{-25}\left(-2\right)^{28}. Cancel out \left(-2\right)^{-25} in both numerator and denominator.

$$\frac{1}{\left(-2\right)^{28}}+\left(-2\right)^{0}$$

Calculate -2 to the power of 28 and get 268435456.

$$\frac{1}{268435456}+\left(-2\right)^{0}$$

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

$$\frac{1}{268435456}+1$$

Add \frac{1}{268435456} and 1 to get \frac{268435457}{268435456}.

$$\frac{268435457}{268435456}$$

Factor

$$\frac{17 \cdot 15790321}{2 ^ {28}} = 1\frac{1}{268435456} = 1.0000000037252903$$