Solve -2^100*0.5^100*(-1)^2018+1/2

$$- 2 ^ { 100 } \times 0.5 ^ { 100 } \times ( - 1 ) ^ { 2018 } + \frac { 1 } { 2 }$$

Evaluate

$$-0.5$$

Solution Steps

Calculate 2 to the power of 100 and get 1267650600228229401496703205376.

$$-1267650600228229401496703205376\times 0.5^{100}\left(-1\right)^{2018}+\frac{1}{2}$$

Calculate 0.5 to the power of 100 and get 0.0000000000000000000000000000007888609052210118054117285652827862296732064351090230047702789306640625.

$$-1267650600228229401496703205376\times 0.0000000000000000000000000000007888609052210118054117285652827862296732064351090230047702789306640625\left(-1\right)^{2018}+\frac{1}{2}$$

Multiply -1267650600228229401496703205376 and 0.0000000000000000000000000000007888609052210118054117285652827862296732064351090230047702789306640625 to get -1.

$$-\left(-1\right)^{2018}+\frac{1}{2}$$

Calculate -1 to the power of 2018 and get 1.

$$-1+\frac{1}{2}$$

Convert -1 to fraction -\frac{2}{2}.

$$-\frac{2}{2}+\frac{1}{2}$$

Since -\frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{-2+1}{2}$$

Add -2 and 1 to get -1.

$$-\frac{1}{2}$$

Factor

$$-0.5$$