Solve 3^2-3^-2/3^2+3^2

$$\frac { 3 ^ { 2 } - 3 ^ { - 2 } } { 3 ^ { 2 } + 3 ^ { 2 } }$$

Evaluate

$$\frac{40}{81}\approx 0.49382716$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{9-3^{-2}}{3^{2}+3^{2}}$$

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

$$\frac{9-\frac{1}{9}}{3^{2}+3^{2}}$$

Subtract \frac{1}{9} from 9 to get \frac{80}{9}.

$$\frac{\frac{80}{9}}{3^{2}+3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{\frac{80}{9}}{9+3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{\frac{80}{9}}{9+9}$$

Add 9 and 9 to get 18.

$$\frac{\frac{80}{9}}{18}$$

Express \frac{\frac{80}{9}}{18} as a single fraction.

$$\frac{80}{9\times 18}$$

Multiply 9 and 18 to get 162.

$$\frac{80}{162}$$

Reduce the fraction \frac{80}{162} to lowest terms by extracting and canceling out 2.

$$\frac{40}{81}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3 ^ {4}} = 0.49382716049382713$$