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CGP EDU Academic Team
Published on: August 12, 2026
Prove that last two digits of 3 400 are 01
Text Solution
Verified by ExpertsThe correct answer is:
3
Sol. 3 400 = (3 4 ) 100 = (81) 100 = (1 + 80) 100
= [C 0 + C 1 (80) + C 2 (800) 2 + ..... + C 100 (80) 100 ]
= [1 + 8000 + C 2 (6400) + ..... + C 100 (80) 100 ]
= 8001 + (terms having last two digit 00)
⇒ so last two digits are 01
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