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

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

Answer»

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.

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