The product $ (32)(32)^{1 / 6}(32)^{1 / 36} \cdots $ to $ \infty $ is

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

The product

(32)(32)^{1 / 6}(32)^{1 / 36} \cdots

\infty

View answer and explanation

Correct option: C

Option C (64) is correct because the product can be simplified using properties of exponents and the sum of an infinite geometric series.

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