\(% MathType!MTEF!2!1!+- % feaahqart1ev3aaatCvAUfKttLearuGlw5gvP1wzaeXatLxBI9gBam % XvP5wqSXMqHnxAJn0BKvguHDwzZbqegm0B1jxALjhiov2DaeHbuLwB % Lnhiov2DGi1BTfMBaebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFf % euY-Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9 % q8aq0-yq-He9q8qqQ8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqaba % WaaqaafaaakqaabeqaaabaaaaaaaaapeWaaeWaa8aabaWdbmaalaaa % paqaa8qacqGHsislcqaIXaqma8aabaWdbiabikdaYaaaaiaawIcaca % GLPaaapaWaaWbaaSqabeaacqaIYaGmaaGcpeGaey4kaSYaaeWaa8aa % baWdbmaalaaapaqaa8qacqaIYaGma8aabaWdbiabiodaZaaaaiaawI % cacaGLPaaapaWaaWbaaSqabeaacqaIZaWmaaaakeaacqGH9aqpdaWc % aaqaamaabmaabaGaeyOeI0IaeGymaedacaGLOaGaayzkaaWaaWbaaS % qabeaacqaIYaGmaaaakeaacqaIYaGmdaahaaWcbeqaaiabikdaYaaa % aaGccqGHRaWkdaWcaaqaaiabikdaYmaaCaaaleqabaGaeG4mamdaaa % GcbaGaeG4mamZaaWbaaSqabeaacqaIZaWmaaaaaaGcbaGaeyypa0Za % aSaaaeaacqaIXaqmaeaacqaI0aanaaGaey4kaSYaaSaaaeaacqaI4a % aoaeaacqaIYaGmcqaI3aWnaaaabaGaeyypa0ZaaSaaaeaacqaI1aqn % cqaI5aqoaeaacqaIXaqmcqaIWaamcqaI4aaoaaaaaaa!60DC! \begin{array}{l} {\left( {\frac{{ - 1}}{2}} \right)^2} + {\left( {\frac{2}{3}} \right)^3}\\ = \frac{{{{\left( { - 1} \right)}^2}}}{{{2^2}}} + \frac{{{2^3}}}{{{3^3}}}\\ = \frac{1}{4} + \frac{8}{{27}}\\ = \frac{{59}}{{108}} \end{array}\)