Question

If (64)² × (8)⁸ ÷ (512)³ = (8)^m , then find the value of m.

Asked in UP Police SI (दरोगा) · 2026
Surds and Indices · Quantitative Aptitude
Exam PYQ4 Options
Quantitative AptitudeSimplificationSurds and IndicesUP Police SI (दरोगा)2026
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Exam Tip

When a surd expression is squared, use (a + b + c)² carefully and include all the cross-product terms.

Correct AnswerCorrect option for this question
Option D — 3

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12UPSC Questions Asked in These Years:2011, 2012, 2013, 2014, 2015, 2018, 2019, 2020, 2021, 2022, 2023, 2026
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45 exam questions have been mapped to this exact video topic, with the highest frequency in State PSC, UPSC and SSC.
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