The first inequality is true, but the second inequality is false. Because $\displaystyle{2}<{10}\usepackage{cmbright}\Huge\$ , it follows that $\displaystyle{{2}}^{{5}}<{{10}}^{{5}}\usepackage{cmbright}\Huge\$ . The correct answer is $\displaystyle{{2}}^{{5}}<{{e}}^{{5}}<{{10}}^{{5}}\usepackage{cmbright}\Huge\$ .