Question

12^1/3*6^23*(0.5)^13

Answer 1

$displaystyle 12^{1/3}*6^{2/3}*(frac{1}{2})^{1/3}=(2^2*3)^{1/3}*(2*3)^{2/3}*frac{1}{2^{1/3}}=\\=2^{2/3}*3^{1/3}*2^{2/3}*3^{2/3}*frac{1}{2^{1/3}}=\\=2^{2/3+2/3-1/3}*3^{1/3+2/3}=2^{3/3}*3^{3/3}=2*3=6$