Question
Download Solution PDF(1373)36 – (1442)20 యొక్క యూనిట్ అంకె:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFభావన:
యూనిట్ అంకెను కనుగొనడానికి, ఇచ్చిన సంఖ్య యొక్క యూనిట్ అంకెను పరిగణించండి మరియు ఘాతం నుండి దాని చక్రీయతను కనుగొనండి.
ఉదాహరణ: 25
∵2 యూనిట్ అంకెగా ప్రతి 4 ఘాతం తర్వాత పునరావృతమవుతుంది, 21 = 2, 22 = 4, 23 = 8, 24 = 16, 25 = 32
⇒ 2 యొక్క చక్రీయత = 4
25 యొక్క యూనిట్ అంకె = 21 = 2
అదే విధంగా, 3 యొక్క చక్రీయత = 4
లెక్కింపు:
(1373)36 – (1442)20 యొక్క యూనిట్ అంకె ⇒ Unit digit of (3)36 – (2)20
⇒ {(3)9 × 4 – (2)5 × 4} యొక్క యూనిట్ అంకె
⇒ {(3)4 – (2)4} యొక్క యూనిట్ అంకె
⇒ {81 – 16} యొక్క యూనిట్ అంకె
⇒ 65 యొక్క యూనిట్ అంకె
⇒ 5Last updated on Jul 2, 2025
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