The first inequality is false, but the second inequality is true. Because $\displaystyle{e}\approx{2.7}\usepackage{cmbright}\Huge\$ , it follows that $\displaystyle{e}<{3}\usepackage{cmbright}\Huge\$ , so $\displaystyle{{e}}^{{6}}<{{3}}^{{6}}\usepackage{cmbright}\Huge\$ . The correct answer is $\displaystyle{{e}}^{{6}}<{{3}}^{{6}}<{{10}}^{{6}}\usepackage{cmbright}\Huge\$ .