Question

find x if x = tens digit of 476^1839-424^186​

Answer 1

Given   x = tens digit of 476^1839-424^186​

To find : Value  of x

Solution:

476¹⁸³⁹

number ending with 76  raised to any power will end with 76

=>  476¹⁸³⁹  will end with 76

424¹⁸⁶

= 424²ˣ⁸³

= (( 424)²)⁸³

Square of number ending with 24 will end in 76  

= (number ending with 76)⁸³

= will end with 76

476¹⁸³⁹ - 424¹⁸⁶  =  number ending with 76  - number ending eith 76

= number ending with 00

Hence tens digit of   will be 0

=> x = 0

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