minimum value

• August 24th 2008, 12:15 AM
puneet
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.
• August 24th 2008, 01:16 AM
wingless
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?
• August 24th 2008, 02:00 AM
puneet
ignou
It was in my ignou assignment.
• August 24th 2008, 02:30 AM
wingless
OK. No problem as long as disproving is enough.