Questions: =-3 e^x cdot e^x

=-3 e^x cdot e^x
Transcript text: $=-3 e^{x} \cdot e^{x}$
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Solution

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Solution Steps

Solution Approach
  1. Combine the exponents of the same base \( e \).
  2. Simplify the expression to a single exponential term.
  3. Evaluate the simplified expression.
Step 1: Combine Exponents

The original expression is given by

\[ -3 e^{x} \cdot e^{x} \]

Using the property of exponents \( e^{a} \cdot e^{b} = e^{a+b} \), we can combine the exponents:

\[ -3 e^{x} \cdot e^{x} = -3 e^{2x} \]

Step 2: Simplify the Expression

The expression simplifies to

\[ -3 e^{2x} \]

This is the final simplified form of the original expression.

Final Answer

\(\boxed{-3 e^{2x}}\)

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