Answer : Given: 5th term of a GP is 2. To find: the product of its first nine terms.

First term is denoted by a, the common ratio is denote by r.

∴ ar4 = 2

We have to find the value of: a × ar1 × ar2 × ar3 × … × ar8

= a9r1 + 2 + 3 + 4 + … + 8

= a9r36

= (ar4)9

= (2)9

= 512

Ans: 512.