Question

find the unit digit of 1253 raise to 1469 - 1258 raised to 1471​

Answer 1

Answer:

unit digit of 1253 ¹⁴⁶⁹  -  1258¹⁴⁷¹  = 9

Step-by-step explanation:

find the unit digit of 1253 raise to 1469 - 1258 raised to 1471​

1253 ¹⁴⁶⁹  -  1258¹⁴⁷¹

1469 = 4*367 + 1

1253 ¹⁴⁶⁹  = ((1253)⁴)³⁶⁷ * 1253

3⁴ ends with 1

1³⁶⁷ ends with  1

ending with 1 *  1253

will end with 3

1471 = 4*367 + 3

1258¹⁴⁷¹ = ((1258)⁴)³⁶⁷ * 1258³

8³ end with 2

8⁴ ends with 6

6³⁶⁷ ends with 6

(ending with 6) * (ending with 2)

ends with 2

1258¹⁴⁷¹  > 1253 ¹⁴⁶⁹

=> end with 3  - End with 2

= - (End with 2 - End with 3)

=  9

unit digit of 1253 ¹⁴⁶⁹  -  1258¹⁴⁷¹  = 9