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

CAT Easy Surds & Indices MCQ

Question

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

$\frac{2}{3}$

$\frac{-2}{3}$

$\frac{4}{3}$

$\frac{-4}{3}$

cat 2024surdsquadratic equations

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