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Answer :

Determine the value og E(82).

[tex]\begin{gathered} E(82)=\sqrt[]{4\cdot82+33} \\ =\sqrt[]{328+33} \\ =19 \end{gathered}[/tex]

Determine the value of E(22).

[tex]\begin{gathered} E(22)=\sqrt[]{4\cdot22+33} \\ =\sqrt[]{88+33} \\ =\sqrt[]{121} \\ =11 \end{gathered}[/tex]

Determine the value of E(82)^(E(22)-8).

[tex]\begin{gathered} E(82)^{E(22)-8}=19^{11-8} \\ =19^3 \\ =6859 \end{gathered}[/tex]

So answer is 6859.