Question

Find the unit digit of the numeric expression: 16²³ + 71⁴⁸ + 59⁶¹

Answer 1

In 16²³, the unit digit of base 16 is 6 and the power is 23  ...(odd power)

Therefore, unit digit of 16²³ is 6

In 71⁴⁸, the unit digit of base 71 is 1 and the power is 48 ...(even power)

Therefore, unit digit of 71⁴⁸ is 1

Also in 59⁶¹, the unit digit of base 59 is 9 and the power is 61  ...(odd power)

Therefore, unit digit of 59⁶¹ is 9

Sum of the unit digits = 6 + 1 + 9 = 16

∴ Unit digit of the given expression is 6.