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(B) Let the $9$ terms of a $G.P.$ be $\frac{a}{r^4}, \frac{a}{r^3}, \frac{a}{r^2}, \frac{a}{r}, a, ar, ar^2, ar^3, ar^4$.Given that the fifth term is

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$512$

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(B) Let the $9$ terms of a $G.P.$ be $\frac{a}{r^4}, \frac{a}{r^3}, \frac{a}{r^2}, \frac{a}{r}, a, ar, ar^2, ar^3, ar^4$.Given that the fifth term is $a = 2$.The product of these $9$ terms is:$P = \left(\frac{a}{r^4}ight) 	imes \left(\frac{a}{r^3}ight) 	imes \left(\frac{a}{r^2}ight) 	imes \left(\frac{a}{r}ight) 	imes a 	imes (ar) 	imes (ar^2) 	imes (ar^3) 	imes (ar^4)$$P = a^9$Substituting the value of $a = 2$:$P = 2^9 = 512$.

If the fifth term of a $G.P.$ is $2$,then the product of its first $9$ terms is:

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