Question

9power1/3×27power-1/2by3power1/6×3power-2/3

Answer 1

 [5(8 power 1/3 +27 power 1/3)power 3)power 1/4] = [5(8^(1/3) +27^(1/3))power 3)power 1/4] = [5{(2^3)^(1/3) + (3)^3^(1/3)}^3 power (1/4)] = [5{2 + 3}^3 power (1/4)] = [5 × 5^3 power 1/4] = (5^4)^(1/4) = 1