So first thing you do is :
c^1/2*d^1/2*d^1/3
then you find sum of the exponents for d
c^1/2*d^(1/2+1/3)
c^1/2*d^5/6
then first number goes under the root, second number outside
so you have root from c ( you do not write number 1 as an exponent and 2 in front of the root because it's already considered to be a square root. As for the d:
6 sqrt(d^5)
c^1/2*d^1/2*d^1/3
then you find sum of the exponents for d
c^1/2*d^(1/2+1/3)
c^1/2*d^5/6
then first number goes under the root, second number outside
so you have root from c ( you do not write number 1 as an exponent and 2 in front of the root because it's already considered to be a square root. As for the d:
6 sqrt(d^5)