[tex]a) \sqrt{ {( - 29)}^{2} } = | - 29| = 29 [/tex]
[tex]b) \sqrt{ {2}^{2000} } = | {2}^{1000} | = {2}^{1000} [/tex]
[tex]c) \sqrt{ {3}^{2012} } = | {3}^{1006} | = {3}^{1006} [/tex]
[tex]d) \sqrt{ {( - 6)}^{2012} } = | {( - 6)}^{1006} | = {( - 6)}^{1006} = {6}^{1006} [/tex]
[tex]e) \sqrt{ {( - 7)}^{7700} } = | {( - 7)}^{3850} | = {( - 7)}^{3850} = {7}^{3850} [/tex]