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Lorem Ipsum is simply dummy text of the printing and typesetting industry.

Wed Feb 5, 2025

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"Lorem Ipsum has been the industry's standard dummy text ever since the 1500s." — James Chapman

Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry's standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book. Lorem ipsum dolor amet, consectetur adipiscing elit.

Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry's standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book.

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Question 3 :The sum of all real values of k" role="presentation"> $k$ for which (18)k×(132768)13=18×(132768)1k" role="presentation"> ${(\frac{1}{8})}^{k} \times {(\frac{1}{32768})}^{\frac{1}{3}} = \frac{1}{8} \times {(\frac{1}{32768})}^{\frac{1}{k}}$ , is

23" role="presentation"> $\frac{2}{3}$
−23" role="presentation"> $- \frac{2}{3}$
43" role="presentation"> $\frac{4}{3}$
−43" role="presentation"> $- \frac{4}{3}$

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Video Explanation

Explanatory Answer

The question is "The sum of all real values of k" role="presentation"> $k$ for which (18)k×(132768)13=18×(132768)1k" role="presentation"> ${(\frac{1}{8})}^{k} \times {(\frac{1}{32768})}^{\frac{1}{3}} = \frac{1}{8} \times {(\frac{1}{32768})}^{\frac{1}{k}}$ , is "Hence, the answer is '−23" role="presentation">

- \frac{2}{3}

'Choice B is the correct answer.

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