\[\boxed{\mathbf{4.22}}\]
\[\textbf{а)}\ 3^{2} + 2^{2} = 9 + 4 = 13\]
\[\textbf{б)}\ \left( 5^{2} + 1 \right)^{2} = (25 + 1)^{2} =\]
\[= (26)^{2} = 676\]
\[\textbf{в)}\ \left( 8^{2} - 3^{2} \right)\ :(8 - 3) =\]
\[= (64 - 9)\ :5 = 55\ :5 = 11\]
\[\textbf{г)}\ {(7}^{3} + 6³)\ :(7^{2} - 6²) =\]
\[= (343 + 216):(49 - 36) =\]
\[= 559\ :13 = 43\ \ \]