Вычислите: (13^-2)^4:(13^2)^-19.

\[\left( 13^{- 9} \right)^{4}\ :\left( 13^{2} \right)^{- 19} =\]

\[= 13^{- 36}\ :13^{- 38} = 13^{- 36 + 38} =\]

\[= 13^{2} = 169.\]