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The product \( 2^{\frac{1}{4}}, 4^{\frac{1}{16}}, 8^{\frac{1}{48}}, 16^{\frac{1}{128}} \ldots \ldots \) to \( \infty \) …

Q1

The product \( 2^{\frac{1}{4}}, 4^{\frac{1}{16}}, 8^{\frac{1}{48}}, 16^{\frac{1}{128}} \ldots \ldots \) to \( \infty \) is equal to

[JEE Main 2020, 9 Jan (Shift 1)]

a

\( 2^{\frac{1}{4}} \)

b

\( 2^{\frac{1}{2}} \)

c

\( 1 \)

d

\( 2 \)

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