Question

What will be the last digit, when you expand 8

224​

Answer 1

Step-by-step explanation:

2100

= (24)25 (as 25*4 =100 )

= 1625

Any number ending with 6 multiplied with another number ending with 6 ends in 6.

Hence 16*16 ends with 6. This number multiplied with 16 also ends with 6 and so on.

Hence 2100 ends in 6.

EDIT:

Note that this method can be used to find the last digit for any power. The trick is to find the power of a number ending in 0,1,5 or 6 as each of these numbers when multiplied with itself ends in the same digit.

Ex 1: 7100

74 ends in 1.

7100 = (74)25 ends in 1.

Ex 2: 19100

192 ends in 1.

19100 = (194)25 ends in 1.

Answer 2

Answer:

2

Step-by-step explanation:

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