The product $(32)(32)^{\frac{1}{6}}(32)^{\frac{1}{36}}\ldots..to\ \infty$ is

Question

Dr. Abubacker · Accepted Answer

(c)
$(32)(32)^{\frac{1}{6}}(32)^{\frac{1}{36}}\ldots = 32^{1 + \frac{1}{6} + \frac{1}{36} + ...} = 32^{\frac{1}{1 - \frac{1}{6}}}$
$= \left( 2^{5} \right)^{\frac{6}{5}} = 64$

Q. The product $(32)(32)^{\frac{1}{6}}(32)^{\frac{1}{36}}\ldots..to\ \infty$ is

Explanation

Reviewed by Dr. Abubacker

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