5^16+125^5 is divisible by??
Answers
Answered by
5
Answer:
5¹⁷+ 5¹⁸ +5¹⁹+5²⁰
=5¹⁷(1+5+ 5²+5³)
=5¹⁷(1+5+25+125)
=5¹⁷×156
Since 5¹⁷ is not divisible by 7 or 9 or 11 or 13
and 156 is divisible by only 13
Hence
5¹⁷+ 5¹⁸ +5¹⁹+5²⁰ is divisible only by 13
Step-by-step explanation:
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Answered by
6
Answer:
6/3/2
Step-by-step explanation:
5¹⁶ + 125⁵
5¹⁶ + (5³)⁵
5¹⁶ + 5¹⁵
(5¹ + 5⁰) × 5¹⁵ [ taking 5¹⁵ as common]
(5 + 1) × 5¹⁵ [since anything to the power 0 is 1]
6 × 5¹⁵
So here, 6 is divisible by 6/3/2 [whatever is in the option]
Therefore, the above number is divisible by 6/3/2
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