g) \( \left(\frac{2}{3}\right)^{2} \div\left(\frac{27}{8}\right)^{-1} \)

Calculate or simplify the expression \( (2/3)^2 / (27/8)^(-1) \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(\frac{2}{3}\right)^{2}}{\left(\frac{27}{8}\right)^{-1}}\) - step1: Multiply by the reciprocal: \(\left(\frac{2}{3}\right)^{2}\times \frac{27}{8}\) - step2: Evaluate the power: \(\frac{2^{2}}{3^{2}}\times \frac{27}{8}\) - step3: Rewrite the expression: \(\frac{2^{2}}{3^{2}}\times \frac{27}{2^{3}}\) - step4: Reduce the numbers: \(\frac{1}{3^{2}}\times \frac{27}{2}\) - step5: Rewrite the expression: \(\frac{1}{3^{2}}\times \frac{3^{3}}{2}\) - step6: Reduce the numbers: \(1\times \frac{3}{2}\) - step7: Multiply: \(\frac{3}{2}\) The result of \( \left(\frac{2}{3}\right)^{2} \div\left(\frac{27}{8}\right)^{-1} \) is \( \frac{3}{2} \) or \( 1\frac{1}{2} \) or \( 1.5 \).