Question

Find the digit at the unit place of the number 44^44 x 66^66 x 99^99​

Answer 1

Answer:

since we are looking for units digit, we require to be concerned with ONLY units digit of three terms..

1) 9 gives 9 as units digit if to the power of ODD and 1 if to the power of EVEN..

here it is ODD, so units digit = 9

2) 4 gives 4 as units digit if to the power of ODD and 6 if to the power of EVEN..

here it is EVEN, so units digit = 6

3) 6 gives 6 as units digit irrespective of any POSITIVE integer as power

so here units digit = 6..

therefore UNITS digit of entire term will be same as that of 9*6*6 = 36*9..

so units digit = 4, as 9*6=54

C

Step-by-step explanation:

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