Solve -6^0+6^-1-(-6)^2

$$- 6 ^ { 0 } + 6 ^ { - 1 } - ( - 6 ) ^ { 2 }$$

Evaluate

$$-\frac{221}{6}\approx -36.833333333$$

Solution Steps

Calculate 6 to the power of 0 and get 1.

$$-1+6^{-1}-\left(-6\right)^{2}$$

Calculate 6 to the power of -1 and get \frac{1}{6}.

$$-1+\frac{1}{6}-\left(-6\right)^{2}$$

Add -1 and \frac{1}{6} to get -\frac{5}{6}.

$$-\frac{5}{6}-\left(-6\right)^{2}$$

Calculate -6 to the power of 2 and get 36.

$$-\frac{5}{6}-36$$

Subtract 36 from -\frac{5}{6} to get -\frac{221}{6}.

$$-\frac{221}{6}$$

Factor

$$-\frac{221}{6} = -36\frac{5}{6} = -36.833333333333336$$