Question
Download Solution PDFखालीलपैकी कोणती संख्या \((49^{15} - 1) \)चा भाजक आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
\((49^{15} - 1) \)
वापरलेली संकल्पना:
जेव्हा n हा सम धन पूर्णांक असतो तेव्हा an - bn हा (a + b) ने विभाज्य असतो.
गणना:
\((49^{15} - 1) \)
⇒ \(({(7^2)}^{15} - 1) \)
⇒ \((7^{30} - 1) \)
येथे, 30 ही धन पूर्णांक संख्या आहे.
संकल्पनेनुसार,
\((7^{30} - 1) \) ही (7 + 1) म्हणजेच 8 ने विभाज्य आहे.
∴ 8 हा \((49^{15} - 1) \) चा भाजक आहे.
Last updated on Jun 13, 2025
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