If n is a positive integer such that (\sqrt[7]{10})(\sqrt[7]{10})^{2} \ldots(\sqrt[7]{10})^{n}>999, then the smallest value of n is

CAT 2021 Slot 3 QA · Question 20

If $n$ is a positive integer such that $(710) (710)^{2} \dots (710)^{n} > 999$ , then the smallest value of $n$ is

Type-in answer (TITA): no options, no negative marking.