Product of vector elements where the vector has a large size

I want to find the nth root of a product for all elements of a vector V having a large size (1064 elements) given as follows.

However, it gives me the answer Inf. Is there any alternative way in matlab to calculate the nth root of the product, where n=length(V)? Thanks.

clear

V = [64	64	256	64	64	64	64	64	256	256	4	4	4	16	16	4	4	4	16	16	64	16	16	16	4	4	16	4	4	16	16	4	16	4	4	16	4	4	4	16	16	64	64	0.250000000000000	0.250000000000000	1	0.250000000000000	0.250000000000000	0.250000000000000	0.250000000000000	0.250000000000000	1	1	4	4	4	16	16	4	4	4	4	4	16	4	4	4	4	4	4	4	4	4	4	4	16	4	4	16	4	4	4	4	4	16	16	64	64	64	256	256	4	4	4	16	16	4	16	4	16	64	64	0.250000000000000	0.250000000000000	0.250000000000000	1	1	4	4	4	4	4	4	16	4	4	16	16	64	64	4	16	16	0.250000000000000	0.250000000000000	4	4	4	64	16	0.250000000000000	4	16	16	64	64	256	64	64	256	4	16	4	16	64	4	4	4	16	16	64	0.250000000000000	1	0.250000000000000	0.250000000000000	1	4	16	4	4	16	4	4	4	4	4	16	64	64	4	16	16	0.250000000000000	0.250000000000000	4	4	4	64	16	0.250000000000000	4	16	16	64	64	4	4	16	4	4	4	4	4	16	16	4	4	4	16	16	4	4	4	16	16	64	4	16	4	4	16	4	4	4	16	16	64	64	64	64	256	64	64	256	256	64	256	256	64	128	128	512	64	64	128	64	64	128	128	64	256	256	64	128	128	512	512	4	4	4	16	16	4	16	4	16	64	64	4	16	16	4	8	8	8	8	32	32	4	4	4	8	8	4	16	4	8	32	32	128	8	8	8	4	4	8	4	4	8	8	4	4	4	16	16	4	4	4	8	8	32	4	4	4	16	16	4	4	4	8	8	32	32	4	16	4	4	16	4	16	4	16	64	64	4	16	16	16	16	64	4	8	8	32	4	4	4	8	8	4	16	4	8	32	32	128	128	4	4	16	4	4	4	4	4	16	16	4	4	4	16	16	4	4	4	4	4	16	4	16	4	4	16	4	4	4	4	4	16	16	0.250000000000000	0.250000000000000	1	0.250000000000000	0.250000000000000	1	1	0.250000000000000	1	1	0.250000000000000	0.500000000000000	0.500000000000000	2	0.250000000000000	0.250000000000000	0.500000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	0.250000000000000	1	1	0.250000000000000	0.500000000000000	0.500000000000000	2	2	4	4	4	16	16	4	16	4	4	16	16	4	16	16	4	8	8	8	8	32	32	4	4	4	8	8	4	4	4	8	8	8	32	8	8	8	4	4	8	4	4	8	8	4	4	4	4	4	4	4	4	8	8	8	4	4	4	4	4	4	4	4	8	8	8	8	4	16	4	4	16	4	16	4	4	16	16	4	16	16	16	16	64	4	8	8	32	4	4	4	8	8	4	4	4	8	8	8	32	32	64	64	64	256	256	4	4	4	16	16	4	16	4	16	64	64	0.250000000000000	0.250000000000000	0.250000000000000	1	1	4	4	4	4	4	4	16	4	4	16	16	64	256	4	16	64	0.250000000000000	1	4	4	16	64	16	0.250000000000000	4	16	64	64	4	4	4	16	16	4	16	4	16	64	64	64	256	256	64	128	128	128	128	512	512	4	4	4	8	8	4	16	4	8	32	32	4	16	64	16	16	64	4	8	32	128	128	4	4	4	16	16	4	16	4	4	16	16	0.250000000000000	1	1	0.250000000000000	0.500000000000000	0.500000000000000	0.500000000000000	0.500000000000000	2	2	4	4	4	8	8	4	4	4	8	8	8	4	16	16	16	16	64	4	8	8	32	32	4	4	4	16	16	64	64	64	128	128	4	16	4	8	32	32	4	4	4	4	4	0.250000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	4	4	4	8	8	8	64	16	0.250000000000000	4	16	4	16	64	128	32	4	4	0.250000000000000	0.500000000000000	8	32	32	128	8	8	8	4	4	16	4	4	16	16	64	64	64	64	64	128	64	64	128	128	4	4	4	16	16	4	4	4	8	8	32	4	4	4	16	16	4	4	4	8	8	32	32	8	8	8	4	4	4	4	4	4	4	0.250000000000000	0.250000000000000	0.250000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	4	4	4	4	4	4	4	4	8	8	8	4	4	4	4	4	4	4	4	8	8	8	8	64	64	4	16	16	0.250000000000000	0.250000000000000	4	4	4	64	16	0.250000000000000	4	16	16	4	4	4	16	16	64	64	64	128	128	4	16	4	8	32	32	4	4	4	4	4	0.250000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	4	4	4	8	8	8	32	64	64	4	16	16	0.250000000000000	0.250000000000000	4	4	4	64	16	0.250000000000000	4	16	16	4	4	4	16	16	64	64	64	128	128	4	16	4	8	32	32	4	4	4	4	4	0.250000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	4	4	4	8	8	8	32	32	64	256	64	64	256	4	16	4	16	64	4	4	4	16	16	64	0.250000000000000	1	0.250000000000000	0.250000000000000	1	4	16	4	4	16	4	4	4	4	4	16	64	256	4	16	64	0.250000000000000	1	4	4	16	64	16	0.250000000000000	4	16	64	64	4	16	4	4	16	4	16	4	16	64	64	64	256	256	256	256	1024	64	128	128	512	4	16	64	16	16	64	4	8	32	128	4	4	4	8	8	4	16	4	8	32	32	128	4	16	4	4	16	4	16	4	4	16	16	0.250000000000000	1	1	1	1	4	0.250000000000000	0.500000000000000	0.500000000000000	2	4	16	16	16	16	64	4	8	8	32	4	4	4	8	8	4	4	4	8	8	8	32	4	4	4	16	16	64	64	64	128	128	4	16	4	8	32	32	4	4	4	4	4	0.250000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	4	4	4	8	8	8	64	16	0.250000000000000	4	16	4	16	64	128	32	4	4	0.250000000000000	0.500000000000000	8	32	32	128];

length(V)

ans = 1064

nthroot(prod(V),length(V))

ans = Inf

Moreover, the following code fails to provide a number different from "Inf".

clear
V = [64	64	256	64	64	64	64	64	256	256	4	4	4	16	16	4	4	4	16	16	64	16	16	16	4	4	16	4	4	16	16	4	16	4	4	16	4	4	4	16	16	64	64	0.250000000000000	0.250000000000000	1	0.250000000000000	0.250000000000000	0.250000000000000	0.250000000000000	0.250000000000000	1	1	4	4	4	16	16	4	4	4	4	4	16	4	4	4	4	4	4	4	4	4	4	4	16	4	4	16	4	4	4	4	4	16	16	64	64	64	256	256	4	4	4	16	16	4	16	4	16	64	64	0.250000000000000	0.250000000000000	0.250000000000000	1	1	4	4	4	4	4	4	16	4	4	16	16	64	64	4	16	16	0.250000000000000	0.250000000000000	4	4	4	64	16	0.250000000000000	4	16	16	64	64	256	64	64	256	4	16	4	16	64	4	4	4	16	16	64	0.250000000000000	1	0.250000000000000	0.250000000000000	1	4	16	4	4	16	4	4	4	4	4	16	64	64	4	16	16	0.250000000000000	0.250000000000000	4	4	4	64	16	0.250000000000000	4	16	16	64	64	4	4	16	4	4	4	4	4	16	16	4	4	4	16	16	4	4	4	16	16	64	4	16	4	4	16	4	4	4	16	16	64	64	64	64	256	64	64	256	256	64	256	256	64	128	128	512	64	64	128	64	64	128	128	64	256	256	64	128	128	512	512	4	4	4	16	16	4	16	4	16	64	64	4	16	16	4	8	8	8	8	32	32	4	4	4	8	8	4	16	4	8	32	32	128	8	8	8	4	4	8	4	4	8	8	4	4	4	16	16	4	4	4	8	8	32	4	4	4	16	16	4	4	4	8	8	32	32	4	16	4	4	16	4	16	4	16	64	64	4	16	16	16	16	64	4	8	8	32	4	4	4	8	8	4	16	4	8	32	32	128	128	4	4	16	4	4	4	4	4	16	16	4	4	4	16	16	4	4	4	4	4	16	4	16	4	4	16	4	4	4	4	4	16	16	0.250000000000000	0.250000000000000	1	0.250000000000000	0.250000000000000	1	1	0.250000000000000	1	1	0.250000000000000	0.500000000000000	0.500000000000000	2	0.250000000000000	0.250000000000000	0.500000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	0.250000000000000	1	1	0.250000000000000	0.500000000000000	0.500000000000000	2	2	4	4	4	16	16	4	16	4	4	16	16	4	16	16	4	8	8	8	8	32	32	4	4	4	8	8	4	4	4	8	8	8	32	8	8	8	4	4	8	4	4	8	8	4	4	4	4	4	4	4	4	8	8	8	4	4	4	4	4	4	4	4	8	8	8	8	4	16	4	4	16	4	16	4	4	16	16	4	16	16	16	16	64	4	8	8	32	4	4	4	8	8	4	4	4	8	8	8	32	32	64	64	64	256	256	4	4	4	16	16	4	16	4	16	64	64	0.250000000000000	0.250000000000000	0.250000000000000	1	1	4	4	4	4	4	4	16	4	4	16	16	64	256	4	16	64	0.250000000000000	1	4	4	16	64	16	0.250000000000000	4	16	64	64	4	4	4	16	16	4	16	4	16	64	64	64	256	256	64	128	128	128	128	512	512	4	4	4	8	8	4	16	4	8	32	32	4	16	64	16	16	64	4	8	32	128	128	4	4	4	16	16	4	16	4	4	16	16	0.250000000000000	1	1	0.250000000000000	0.500000000000000	0.500000000000000	0.500000000000000	0.500000000000000	2	2	4	4	4	8	8	4	4	4	8	8	8	4	16	16	16	16	64	4	8	8	32	32	4	4	4	16	16	64	64	64	128	128	4	16	4	8	32	32	4	4	4	4	4	0.250000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	4	4	4	8	8	8	64	16	0.250000000000000	4	16	4	16	64	128	32	4	4	0.250000000000000	0.500000000000000	8	32	32	128	8	8	8	4	4	16	4	4	16	16	64	64	64	64	64	128	64	64	128	128	4	4	4	16	16	4	4	4	8	8	32	4	4	4	16	16	4	4	4	8	8	32	32	8	8	8	4	4	4	4	4	4	4	0.250000000000000	0.250000000000000	0.250000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	4	4	4	4	4	4	4	4	8	8	8	4	4	4	4	4	4	4	4	8	8	8	8	64	64	4	16	16	0.250000000000000	0.250000000000000	4	4	4	64	16	0.250000000000000	4	16	16	4	4	4	16	16	64	64	64	128	128	4	16	4	8	32	32	4	4	4	4	4	0.250000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	4	4	4	8	8	8	32	64	64	4	16	16	0.250000000000000	0.250000000000000	4	4	4	64	16	0.250000000000000	4	16	16	4	4	4	16	16	64	64	64	128	128	4	16	4	8	32	32	4	4	4	4	4	0.250000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	4	4	4	8	8	8	32	32	64	256	64	64	256	4	16	4	16	64	4	4	4	16	16	64	0.250000000000000	1	0.250000000000000	0.250000000000000	1	4	16	4	4	16	4	4	4	4	4	16	64	256	4	16	64	0.250000000000000	1	4	4	16	64	16	0.250000000000000	4	16	64	64	4	16	4	4	16	4	16	4	16	64	64	64	256	256	256	256	1024	64	128	128	512	4	16	64	16	16	64	4	8	32	128	4	4	4	8	8	4	16	4	8	32	32	128	4	16	4	4	16	4	16	4	4	16	16	0.250000000000000	1	1	1	1	4	0.250000000000000	0.500000000000000	0.500000000000000	2	4	16	16	16	16	64	4	8	8	32	4	4	4	8	8	4	4	4	8	8	8	32	4	4	4	16	16	64	64	64	128	128	4	16	4	8	32	32	4	4	4	4	4	0.250000000000000	0.250000000000000	0.250000000000000	0.500000000000000	0.500000000000000	4	4	4	8	8	8	64	16	0.250000000000000	4	16	4	16	64	128	32	4	4	0.250000000000000	0.500000000000000	8	32	32	128];
Product_V=1;
for i=1:length(V)
    Product_V = Product_V.*V(i); % product of V's elements
end
length(V)

ans = 1064

Product_V

Product_V = Inf

nthroot( Product_V,length(V))

ans = Inf

Answer 1

[Torsten]

Product_V = exp(sum(log(V(1,:)))/numel(V))

[HAT]

It works. Thank you very much!