Question

What is the unit digit of the expression 8^56 - 2^56 ?
a.2
b.6
c.None of these
d.4​

Answer 1

Step-by-step explanation:

the answer is 3.74

when you round off you get 4

so I think the answer is d) 4

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Answer 2

(C) None of the given will be unit digit of the given expression $8^{56} - 2^{56}$

Explanation:

• Given expression is $8^{56} - 2^{56}$.

• It have values in $a^b$ type.

• First let's evaluate unit digit of both parts of expression independently.

• First lets compute unit digit of $8^{56}$

• If we check linear powers of 8 then we can examine that they repeat these four unit digits {8,4,2,6}

• So as 56 is completely divisible by 4, it will generate unit place of 6 for $8^{56}$.

• So in $8^{56}$ unit place is 6

• Now lets consider $2^{56}$

• If we check linear powers of 2 then we can examine that they repeat these four unit digits {2,4,8,6}

• So as 56 is completely divisible by 4, it will generate the unit place of 6 for $2^{56}$

• So in $2^{56}$ unit place is 6

• As unit place of both individual terms are same, when they will get subtracted the resultanat unit place will become 0.

• Hence, Unit place of expression $8^{56} - 2^{56}$ is 0.

Hence, "None of these" option is correct.