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How to Calculate a Variable Exponent

In algebra, exponents are used to make an equation shorter in expression when there are instances of repeated multiplication. Variable exponents are components in a mathematical equation that have no set value until solved. The value of a variable exponent can change when the equation is changed. A variable exponent is represented by the letter "x", but in formulas involving multiple variables, additional letters are used to represent unknown quantities.

Instructions

    • 1

      Identify the variable exponents to be solved for in the equation. The symbol for Pi, as an example, can look like a variable exponent because it is not a number immediately recognizable; but it is not a variable exponent, as it has a set value already.

    • 2

      Use one of three methods for solving the variable. If the base values are the same, set the exponents equal to each other and then complete the formula for the value.

      If the exponents have unlike bases, remove the variable from the equation. Identify the common factor of the base values. Then rewrite the formula to represent the original equation using the new base values, which should now be the same. Essentially, the second method involves breaking down the equation so that it can be rewritten to allow for using the first method.

      Another option is solving the equation by adding or subtracting the value on the right side of the equal sign from the value on the left by setting the answer to zero. In this case, solve for zero.

    • 3

      Solve the equation for the value of the variable exponent.

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