Solve -3^-2+(-7/8)^0+(-1)^2020

$$- 3 ^ { - 2 } + ( - \frac { 7 } { 8 } ) ^ { 0 } + ( - 1 ) ^ { 2020 }$$

Evaluate

$$\frac{17}{9}\approx 1.888888889$$

Solution Steps

Calculate 3 to the power of -2 and get \frac{1}{9}.

$$-\frac{1}{9}+\left(-\frac{7}{8}\right)^{0}+\left(-1\right)^{2020}$$

Calculate -\frac{7}{8} to the power of 0 and get 1.

$$-\frac{1}{9}+1+\left(-1\right)^{2020}$$

Add -\frac{1}{9} and 1 to get \frac{8}{9}.

$$\frac{8}{9}+\left(-1\right)^{2020}$$

Calculate -1 to the power of 2020 and get 1.

$$\frac{8}{9}+1$$

Add \frac{8}{9} and 1 to get \frac{17}{9}.

$$\frac{17}{9}$$

Factor

$$\frac{17}{3 ^ {2}} = 1\frac{8}{9} = 1.8888888888888888$$