a) \(\root 3 \of {27} = \root 3 \of {\left( {{3^3}} \right)} = 3\)
b) \(\root 3 \of {\left( { - 64} \right)} = \root 3 \of {\left( { - {4}} \right)^3} = - 4\)
c) \(\root 3 \of 0 = 0\)
d) \(\displaystyle \root 3 \of {{1 \over {125}}} = \root 3 \of {{{\left( {{1 \over 5}} \right)}^3}} = {1 \over 5}\)