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Q. \( \{(23 + 2^2)^{\frac{2}{3}} + (150 – 29)^{\frac{1}{2}}\}^2 \)
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\( = \{(23 + 4)^{\frac{2}{3}} + (121)^{\frac{1}{2}}\}^2 \)
\( = \{27^{\frac{2}{3}} + 11\}^2 \)
\( = \{(3^3)^{\frac{2}{3}} + 11\}^2 \)
\( = \{3^2 + 11\}^2 \)
\( = (9 + 11)^2 \)
\( = 20^2 \)
\( = 400 \)
\( \boxed{400} \)