SOLUTION: Find the value of x if a^(x-2)[(a^(2x+2) + a^(1-x)] = a^(-3)[(a^9 + a^2)]

Question 1134475: Find the value of x if a^(x-2)[(a^(2x+2) + a^(1-x)] = a^(-3)[(a^9 + a^2)]
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the value of x if Find the value of x if a^(x-2)[(a^(2x+2) + a^(1-x)] = a^(-3)[(a^9 + a^2)]
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Left side simplified:::a^(x-2)[(a^(2x+2) + a^(1-x)] = a^[x-2+2x+2] + a^[x-2+1-x] = a^3x+a^-1
and
Right side simplified:: a^(-3)[(a^9 + a^2)] = a^6 + a^-1
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So, 3x = 6 and x = 2
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Cheers,
Stan H.
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