Find the unit digit of the following numeric expression. 1000010000 + 1111111111 - Mathematics

Find the unit digit of the following numeric expression.

10000¹⁰⁰⁰⁰ + 11111¹¹¹¹¹

Sum

10000¹⁰⁰⁰⁰ + 11111¹¹¹¹¹

In 10000¹⁰⁰⁰⁰ the unit digit of base 10000 is 0 and power is 10000

Unit digit of 10000¹⁰⁰⁰⁰ is 0

In 11111¹¹¹¹¹ the unit digit of base 11111 is 1 and power is 11111

Unit digit of 11111¹¹¹¹¹ is 1

Unit digit of 10000¹⁰⁰⁰⁰ + 11111¹¹¹¹¹ is 0 + 1 = 1

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Unit Digit of Numbers in Exponential Form

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Chapter 3: Algebra - Exercise 3.2 [Page 57]

Chapter 3 Algebra
Exercise 3.2 | Q 4. (ii) | Page 57

If a = 3 and b = 2, then find the value of the following.

(a – b)^a

Match the following:

Group A Exponential form	Group B Unit digit of the number
(i) 20¹⁰	(a) 6
(ii) 121¹¹	(b) 4
(iii) 444⁴¹	(c) 0
(iv) 25¹⁰⁰	(d) 1
(v) 716⁸³	(e) 9
(vi) 729⁷²⁵	(f) 5