Question

Since it a hard question I'll up it to 40+ Points I will give to the person who answer ASAP with CORRECT answer and Explanation

Answer 1

Answer:

√(cd)*∛d

Step-by-step explanation:

This problem becomes a bit easier if we group the variables c and d together.  

(cd)^(1/2)*d*(1/3) = c^(1/2)*d^(1/2+1/3)

Continuing, we get c^(1/2)*d^(5/6)    (by adding the exponents 1/2 and 1/3)

Now c^(1/2) is equivalent to the radical form √c, and

d^(5/6) is equivalent to d^(5/3)^(1/2), which, as a radical, is √d(5/3).

Summarizing this:  

(cd)^(1/2)*d*(1/3) = c^(1/2)*d^(1/2+1/3) = (cd)^(1/2)*d^(1/3),

which, in radical form, is √(cd)*∛d