We are given:

\(\displaystyle{2}+{4}^{{{2}}}{\left({5}-{3}\right)}\)

Perform the operations insice the grouping symbols:

\(\displaystyle={2}+{4}^{{{2}}}{\left({2}\right)}\)

Evaluate powers:

\(\displaystyle={2}+{16}{\left({2}\right)}\)

Multiply:

\(\displaystyle={2}+{32}={34}\)

\(\displaystyle{2}+{4}^{{{2}}}{\left({5}-{3}\right)}\)

Perform the operations insice the grouping symbols:

\(\displaystyle={2}+{4}^{{{2}}}{\left({2}\right)}\)

Evaluate powers:

\(\displaystyle={2}+{16}{\left({2}\right)}\)

Multiply:

\(\displaystyle={2}+{32}={34}\)