Question

find the remainder when 2^30 is divided by 5

Answer 1

Step-by-step explanation:

=2^30/5

2^30/5=1,073,741,824/5

2^30/5=1,073,741,824/5=214,748,364.8

Answer 2

Answer:

2 to the power 1 = 2

2 to the power 2 = 4

2 to the power 3 = 8

2 to the power 4 = 16; last digit = 6

So, 2,4,8,6 is the cycle for the digit 2.

2 to the power 23 will have last digit as 8.

Therefore, the remainder will be 3 when divided by 5.

For example: 13,23,33,43,53.... be it any number ending with 3 will have a remainder 3 when divided by 5.

Also, = 8388608.

On dividing it by 5 we get quotient as 1677721 and remainder as 3.

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