Answer:
Problem one:
[tex]{ \tt{ {x}^{2} = 169 }}[/tex]
but 169 = 13², therefore:
[tex]{ \tt{ {x}^{2} = {13}^{2} }}[/tex]
• apply square roots on all sides:
[tex]{ \tt{ \sqrt{ {x}^{2} } = \sqrt{ {13}^{2} } }} \\ \\ { \boxed{ \boxed{ \: \: x = 13 \: \: }}}[/tex]
Problem two:
[tex]{ \tt{ {x}^{3} = - 125}}[/tex]
but -125 = -5³, therefore:
[tex]{ \tt{ {x}^{3} = - {5}^{3} }}[/tex]
• Apply cube roots to all sides:
[tex]{ \tt{ \sqrt[3]{ {x}^{3} } = \sqrt[3]{ - 5 {}^{3} } }} \\ \\ { \boxed{ \boxed{ \tt{ \: \: x = - 5 \: }}}}[/tex]
