If (e^x)^-2 X (e^x)^2 X e^x = 1/e^2

1 answer

1. I suggest a * to stand for multiplication, so we do not have to guess if X is a variable or an operator.
   
   (e^x)^(-2) * (e^x)^2 * e^x = 1/e^2
   
   The left hand side simplifies easily using the law of exponents:
   
   (e^x)^(-2+2) * e^x = 1/e^2
   1 * e^x = 1/e^2
   e^x = e^(-2)
   x=-2

   Answer ID
   524248

   Created
   April 2, 2011 4:48pm UTC

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   URL
   https://questions.llc/answers/524248