Math, asked by saicharanreddy32, 10 months ago

what is the last digit in the sum 2 power 1996 + 3 power 1996 ? please can you say the answer... its urgent... ​

Answers

Answered by amitnrw
0

last digit in the sum  of  2¹⁹⁹⁶  + 3¹⁹⁹⁶  will be 7  

Step-by-step explanation:

2¹⁹⁹⁶  + 3¹⁹⁹⁶

= 2⁴ˣ⁴⁹⁹ + 3⁴ˣ⁴⁹⁹

= (2⁴)⁴⁹⁹  + (3⁴)⁴⁹⁹

2⁴   end with 6  ( 16)

6 raised to power n   , n≥ 1  end with 6

3⁴  ens with 1  ( 81)

1 raised to power n  end with 1

6  + 1

= 7

last digit in the sum  of  2¹⁹⁹⁶  + 3¹⁹⁹⁶  will be 7  

Learn more:

The last two digits of the number (19)131 + (131)19 are​ - Brainly.in

https://brainly.in/question/14652318

sum of last two digits of 7^2020​ - Brainly.in

https://brainly.in/question/13644367

last two digits of (19)¹³¹+ (131)¹^9

https://brainly.in/question/14652014

Answered by meetnandita
0

Step-by-step explanation:

2¹⁹⁹⁶  + 3¹⁹⁹⁶

= 2⁴ˣ⁴⁹⁹ + 3⁴ˣ⁴⁹⁹

= (2⁴)⁴⁹⁹  + (3⁴)⁴⁹⁹

2⁴   end with 6  ( 16)

6 raised to power n   , n≥ 1  end with 6

3⁴  ens with 1  ( 81)

1 raised to power n  end with 1

6  + 1

= 7

last digit in the sum  of  2¹⁹⁹⁶  + 3¹⁹⁹⁶  will be 7

Similar questions