-
The unit digit in the expansion of (2137)754 is
-
- 1
- 3
- 7
- 9
Correct Option: D
Given Expression = ( 2137)754
Unit’s digit in 2137 = 7
Now, 71 = 7,
72 = 49,
73 = 343,
74 = 2401,
75 = 16807,
Clearly, after index 4, the unit’s digit follow the same order.
Dividing index 754 by 4 we get remainder = 2
∴ Unit’s digit in the expansion of (2137)754 = Unit’s digit in the expansion of (2137)2 = 9
