The sum of all real values of k for which \left(\frac{1}{8}\right)^k \times\left(\frac{1}{32768}\right)^{\frac{1}{3}}=\frac{1}{8} \times\left(\frac{1}{32768}\right)^{\frac{1}{k}}, is

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CAT 2024 Slot 1 QA · Question 3

The sum of all real values of $k$ for which $(\frac{1}{8})^{k} \times (\frac{1}{32768})^{\frac{1}{3}} = \frac{1}{8} \times (\frac{1}{32768})^{\frac{1}{k}}$ , is

A.
$\frac{2}{3}$
B.
$- \frac{2}{3}$
C.
$\frac{4}{3}$
D.
$- \frac{4}{3}$

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