Question

What is the unit digit in the expansion of (89628)^402?​

Answer 1

Given :  (89628)⁴⁰²

To Find : unit Digit

Solution:

(89628)⁴⁰²

=  (89628)⁴⁰⁰⁺²

= (89628)⁴⁰⁰.(89628)²

= ((89628)⁴)¹⁰⁰.(89628)²

8⁴  Ends with 6

6¹⁰⁰ end with 6

8² ends with 4

(6)(4) = 24

Hence  (89628)⁴⁰²  ends with 4

Unit digit of   (89628)⁴⁰²  is 4

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