Solve frac{-2^{2}+(1/3)^-2}{-2^2+(-3)^2+8^circ}

$$\frac { - 2 ^ { 2 } + ( \frac { 1 } { 3 } ) ^ { - 2 } } { - 2 ^ { 2 } + ( - 3 ) ^ { 2 } + 8 ^ { \circ } }$$

Evaluate

$$\frac{5}{13}\approx 0.384615385$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{-4+\left(\frac{1}{3}\right)^{-2}}{-2^{2}+\left(-3\right)^{2}+8}$$

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

$$\frac{-4+9}{-2^{2}+\left(-3\right)^{2}+8}$$

Add -4 and 9 to get 5.

$$\frac{5}{-2^{2}+\left(-3\right)^{2}+8}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{5}{-4+\left(-3\right)^{2}+8}$$

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

$$\frac{5}{-4+9+8}$$

Add -4 and 9 to get 5.

$$\frac{5}{5+8}$$

Add 5 and 8 to get 13.

$$\frac{5}{13}$$

Factor

$$\frac{5}{13} = 0.38461538461538464$$