Simplify (e^(-x))^2

Problem

(e^(−x))^2

Solution

1. Identify the power of a power rule for exponents, which states that (a^m)^n=a^(m⋅n)

2. Apply the rule by multiplying the inner exponent −x by the outer exponent 2

3. Multiply the terms in the exponent to get −2*x

4. Rewrite the expression in its simplified form e^(−2*x)

Final Answer

(e^(−x))^2=e^(−2*x)

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