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Determine the unit digit in the expansion of the following: (4987)184
  • a)
    3
  • b)
    7
  • c)
    9
  • d)
    1
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Determine the unit digit in the expansion of the following: (4987)184a...
The given number is (4987)184
⇒ the unit digit of the given number will be the unit digit of number raised to 184 i.e., 7184
⇒ 71 = 7, 72 = 49 (unit digit is 9); 73 = 343 (unit digit is 3); 74 = 2401(unit digit 1)
⇒ 75 = 16807 (unit digit 7 again)
∴ with 7 as the unit digit raised to power, the only possibilities of unit digits are 7, 9, 3 and 1.
⇒ 7184 can be written as 7(4 × 46)
⇒ (74)46 ⇒ (1)46 = 1
∴ (4987)184 will have 1 as its unit digit.
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Determine the unit digit in the expansion of the following: (4987)184a)3b)7c)9d)1Correct answer is option 'D'. Can you explain this answer?
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