what is the unit digit in 4 rase to power 63 multiply 8rase to power 45 multiply 11 rase to power 77
Answers
Given : 4⁶³ x 8⁴⁵ x 11⁷⁷
To Find : unit digit
Solution:
4⁶³ = 4⁶² * 4
= (4²)³¹ * 4
= (16)³¹ * 4
number ending with 6 raised to power any integer greater than 0 ends with 6
6 * 4 = 24
4⁶³ ends with 4
8⁴⁵ = (2³)⁴⁵
= 2¹³⁵
= 2¹³² * 2³
= (2⁴)³³ * 8
= (16)³³ * 8
6 * 8 = 48
8⁴⁵ ends with 8
11⁷⁷ ends with 1
4⁶³ ends with 4
8⁴⁵ ends with 8
11⁷⁷ ends with 1
(4)(8)(1) = 32
Hence ends with 2
4⁶³ x 8⁴⁵ x 11⁷⁷ unit digit is 2
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Answer:
Step-by-step explanation: