1-(-2/3)^2

To solve the expression \( 1 - \left(-\frac{2}{3}\right)^2 \), follow these steps: 1. Calculate \( \left(-\frac{2}{3}\right)^2 \): \[ \left(-\frac{2}{3}\right)^2 = \frac{(-2)^2}{3^2} = \frac{4}{9} \] 2. Substitute this value back into the expression: \[ 1 - \frac{4}{9} \] 3. To perform the subtraction, convert 1 to a fraction with a denominator of 9: \[ 1 = \frac{9}{9} \] 4. Now subtract: \[ \frac{9}{9} - \frac{4}{9} = \frac{9 - 4}{9} = \frac{5}{9} \] Thus, the final result is: \[ 1 - \left(-\frac{2}{3}\right)^2 = \frac{5}{9} \]