# Math Help - minimum value

1. ## minimum value

State true or false? Give reason?
If a + b + c = 81 , the minimum value of a^10 + b^10 + c^10 is (81)^10.

2. False. Taking $a=b=c=27$ makes $a^{10}+b^{10}+c^{10} = 3\cdot 27^{10}$ which is less than $81^{10}$.

Where did you see this question?

3. ## ignou

It was in my ignou assignment.

4. OK. No problem as long as disproving is enough.