Question

find the last two digits of 28^64​

Answer 1

Answer:

56

Step-by-step explanation:

28^64

Can be written as

2^64 x 14^64

• last two digits of 28^64=last two digits of 2^64 x 14^64

So now

((2^10)^6 x 2^4) x ((2^64) x 7^64)

last two digits of all

(24^6 x 2^4) x (24^6 x 2^64) x 7^64)

(76x16) x (76x16)x 01

( As 7 is prime number and special case The number divusible by 4 will always have last two digits 01)

16 x 16 x 1

256

• Last two digits are 5 and 6