Question

Find the unit's digit in (264)¹⁰² + (264)¹⁰³.

Answer 1

Required unit's digit = unit's digit in (4)¹⁰² + (4)¹⁰³. 

Now, 4² gives unit digit 6. 

(4)¹⁰² gives unit digit 6. 

(4)¹⁰³ gives unit digit of the product (6 x 4) i.e., 4. 

Hence, unit's digit in (264)m + (264)103 = unit's digit in (6 + 4) = 0.