1.

Find the unit digit of the following exponential numbers:(i) 6411(ii) 2918(iii) 7919(iv) 10432

Answer»

(i) 6411 Unit digit of base 64 is 4 and the power is 11 (odd power).

∴ Unit digit of 6411 is 4.

(ii) 2918 Unit digit of base 29 is 9 and the power is 18 (even power).

Therefore, unit digit of 2918 is 1.

(iii) 7919 Unit digit of base 79 is 9 and the power is 19 (odd power).

Therefore, unit digit of 7919 is 9.

(iv) 10432 Unit digit of base 104 is 4 and the power is 32 (even power).

Therefore, unit digit of 10432 is 6.



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