Simplify (e^(1/x))/(x^2)

Problem

(e(1/x))/(x2)

Solution

1. Identify the expression as a quotient involving an exponential function with a reciprocal power.

2. Rewrite the expression using negative exponents to see if further simplification is possible.

3. Observe that the expression is already in its most compact form, as the base e and the base x cannot be combined.

4. Conclude that the expression is simplified, though it can be written as a product using a negative exponent for the denominator.

Final Answer

(e(1/x))/(x2)=x(−2)*e(1/x)

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