(34)³ విలువ ఎంత?

This question was previously asked in
RRB Group D 13 Sept 2022 Shift 2 Official Paper
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  1. 39204
  2. 39304
  3. 40304
  4. 29304

Answer (Detailed Solution Below)

Option 2 : 39304
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Detailed Solution

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ఇచ్చినది: \((34)^3\)

ఉపయోగించిన భావన:

ఘాత లు ఈ విధంగా విస్తరించబడతాయి: \(a^3=a\times a\times a\)

గణన:

సరళీకరిద్దాం,

\((34)^3=34\times34\times34\\=1156\times34\\=39304\)

కాబట్టి, (34)3 విలువ 39304.

Alternate Method 

రెండంకెల సంఖ్య యొక్క ఘనాన్ని కనుగొనడానికి (ఇక్కడ 34 అనుకుందాం), (a + b)³ = a³ + 3a²b + 3ab² + b³ సూత్రాన్ని ఉపయోగించండి, ఇక్కడ a మరియు b రెండు అంకెలు, అనగా a = 3 మరియు b = 4.

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