Solve -3^2+(1/2)^-2/(-3)^2+(-2)^0+1

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

Evaluate

$$-\frac{5}{11}\approx -0.454545455$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{-9+\left(\frac{1}{2}\right)^{-2}}{\left(-3\right)^{2}+\left(-2\right)^{0}+1}$$

Calculate \frac{1}{2} to the power of -2 and get 4.

$$\frac{-9+4}{\left(-3\right)^{2}+\left(-2\right)^{0}+1}$$

Add -9 and 4 to get -5.

$$\frac{-5}{\left(-3\right)^{2}+\left(-2\right)^{0}+1}$$

Calculate -3 to the power of 2 and get 9.

$$\frac{-5}{9+\left(-2\right)^{0}+1}$$

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

$$\frac{-5}{9+1+1}$$

Add 9 and 1 to get 10.

$$\frac{-5}{10+1}$$

Add 10 and 1 to get 11.

$$\frac{-5}{11}$$

Fraction \frac{-5}{11} can be rewritten as -\frac{5}{11} by extracting the negative sign.

$$-\frac{5}{11}$$

Factor

$$-\frac{5}{11} = -0.45454545454545453$$