#  >> K-12 >> AP Classes

How to Simplify an Exponential Expression

Exponential expressions are terms that involve the constant "e," a number made famous by the Swiss mathematician Leonhard Euler. The constant "e" acts as a base that is raised to other numbers. This process of raising the constant "e" to a power is known as exponentiation and is the inverse of the natural logarithm. The simplification of these expressions is often required in logarithmic equations found in science and finance.

Instructions

    • 1

      Simplify the exponent of the base "e" if possible. The exponents in these exponentials are often complex rational expressions that contain several substitutable variables and constants. This often leads to cancellation possibilities that simplify the subsequent answer.

    • 2

      Take the natural logarithm of the entire exponential expression. The base "e" and natural logarithm are inverse operations. Therefore, taking the logarithm of an exponential expression removes both the logarithm and the base "e." This leaves only the exponent of the exponential left in the expression.

    • 3

      Remove the notation for the natural log and "e" from the expression and move the exponent position; then write it as any other polynomial expression.

Learnify Hub © www.0685.com All Rights Reserved