Answer :
[tex]\left( \frac { 1 }{ 169 } \right) ={ \left( \frac { 1 }{ 13 } \right) }^{ 2 }=\frac { { 1 }^{ 2 } }{ { 13 }^{ 2 } } [/tex]
[tex]\dfrac{1}{169}=\left(\dfrac{1}{13}\right)^x\\
\left(\dfrac{1}{13}\right)^2=\left(\dfrac{1}{13}\right)^x\\
x=2[/tex]