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CAT 2024 Set-1 | Quantitative Aptitude | Question: 18

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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

  1. $-\frac{4}{3}$
  2. $\frac{4}{3}$
  3. $\frac{2}{3}$
  4. $-\frac{2}{3}$

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