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How to Rewrite Fractions With Positive Exponents

Negative exponents signify the inverse of a term. Adding the inverse notation to a term indicates that an operation must be performed and therefore the term is not in its simplest form. Basic and intermediate algebra students are taught how to reduce terms containing negative exponents in final answers to ensure the simplest form has been attained and that all operations have been carried out. The rules of negative exponents apply to both variables and constants.

Instructions

- 1
  Simplify the fraction. This includes finding least common denominators and performing all indicated multiplications and additions.
- 2
  Move any terms that contain negative exponents, including their coefficients, to the other side of the fraction. For example, (4y * (3x)^-2) / 4 = 4y / 4 * (3x)^2 .
- 3
  Apply the exponent to any terms where the coefficient and variable are contained within parentheses. In this example, 4y / 4 * (3x)^2 = 4y / 4 * (3)^2 * (x)^2 = 4y / 4 * 9 * x^2.
- 4
  Simplify the resulting quotient. Continuing the example, 4y / 4 * 9 * x^2 = y / 9x^2

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