How to Multiply Exponential Functions

Algebra, calculus and other branches of math make frequent use of functions, which are mathematical rules that relate two different variables. One variable is uniquely determined by the function of the second variable. Functions are often written in the form f(x)= followed by an equation. When exponents are thrown into the mix, calculating functions and solving for their variables becomes more complicated.

Instructions

    • 1

      Simplify within parentheses by combining like terms and canceling out the same variables in the numerator and denominator. For example, 4x/2x can be simplified to 2x/1.

    • 2

      Apply the multiplication rule to all terms in the function, wherein (b^x)(b^y) = b^(x+y).

    • 3

      Use the property of multiplicative distribution, wherein (ab)^x = (a^x)(b^x).

    • 4

      Multiply each term by the exponent.

    • 5

      Isolate the variable on one side to solve for x (or whatever variable is used in the equation).

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