Simplify the absolute value expression, and then use order of operations: $\displaystyle{\left|{7}-{9}\right|}+{{\left({7}-{9}\right)}}^{{2}}={\left|-{2}\right|}+{{\left({7}-{9}\right)}}^{{2}}={2}+{{\left({7}-{9}\right)}}^{{2}}={2}+{{\left(-{2}\right)}}^{{2}}={2}+{4}={6}\usepackage{cmbright}\Huge\$