What is the equivalent number

Answer:
c
Step-by-step explanation:
point mean multiplication
as power added so
[tex](a {}^{ \frac{1}{2} + \frac{1}{2} } .b {}^{ \frac{1}{3} + \frac{1}{2} } )[/tex]
take l.c.m we get
[tex](a {}^{ \frac{1 + 1}{2} } .b \frac{2 + 3}{6} )[/tex]
[tex](a.b {}^{ \frac{5}{6} } )[/tex]