Question
Download Solution PDFక్రింది సంఖ్యలలో ఏది \((49^{15} - 1) \) యొక్క విభాజకం?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినది:
\((49^{15} - 1) \)
ఉపయోగించిన భావన:
n సరి ధన పూర్ణాంకం అయినప్పుడు an - bn అనేది (a + b) ద్వారా భాగించబడుతుంది.
గణన:
\((49^{15} - 1) \)
⇒ \(({(7^2)}^{15} - 1) \)
⇒ \((7^{30} - 1) \)
ఇక్కడ, 30 అనేది ధనాత్మక పూర్ణాంకం.
భావన ప్రకారం,
\((7^{30} - 1) \) (7 + 1) అంటే 8 ద్వారా భాగించబడుతుంది.
∴ 8 అనేది \((49^{15} - 1) \) భాగహారం.
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