document.write( "Question 814403: The integers -3,-2,-1,0,1,2 and 3 are substituted into the expression a^b+c^d+e^f+g. What is the greatest possible value of the expression? \n" ); document.write( "

Algebra.Com's Answer #490289 by LinnW(1048) $\"\"$ $\"About$

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The solution is a=-3,b=2,c=3,d=1,e=-2,f=-1,g=0.\r
\n" ); document.write( "\n" ); document.write( "This gives us (-3)^2 + 3^1 + (-2)^-1 + 0
\n" ); document.write( " = 9 + 3 +(1/-2) + 0
\n" ); document.write( " = 12 -1/2 + 0
\n" ); document.write( " = 11 1/2\r
\n" ); document.write( "\n" ); document.write( "(-3) is matched with 2 to give the maximum for the first pairing.
\n" ); document.write( "The remaining integers are -2,-1,0,1 and 3.
\n" ); document.write( "Next we want to maximize the next pair involving 3.
\n" ); document.write( "This gives us 3^1 .
\n" ); document.write( "The remaining integers are now -2,-1, and 0 .
\n" ); document.write( "Minimizing the impact of the negative numbers we have (-2)^-1
\n" ); document.write( "which reduces to -1/2.
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