A) 2
B) 8
C) 0
D) cannot be determined
Correct Answer: C
Solution :
| Sol. [c] For all \[x\in N,\]\[{{(12)}^{{{3}^{x}}}}\]ends with either 8 or 2 and \[{{(18)}^{{{3}^{x}}}}\]ends with either 2 or 8. |
| If \[{{(12)}^{{{3}^{x}}}}\]ends with 8, then \[{{(18)}^{{{3}^{x}}}}\] ends with 2. |
| If \[{{(12)}^{{{3}^{x}}}}\]ends with 2, then \[{{(18)}^{{{3}^{x}}}}\] ends with 8. |
| Thus, \[{{(12)}^{{{3}^{x}}}}+{{(18)}^{{{3}^{x}}}}\]ends with 0 only. |
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