Assessment and Learning in Knowledge Spaces (ALEKS) Basic Math Placement Practice Test

When dealing with negative exponents, the standard practice is to rewrite them as positive exponents to clarify expressions and maintain consistency in mathematical operations. A negative exponent indicates that the base should be reciprocated. For example, \( a^{-n} \) can be rewritten as \( \frac{1}{a^n} \). This transformation helps in simplifying expressions and makes it easier to perform further calculations.

Recognizing this property is essential for effectively manipulating algebraic expressions. Keeping negative exponents in their original form can complicate calculations and interpretations. Therefore, converting them into positive exponents serves both a practical and instructional purpose, ensuring that the mathematical processes remain clear and straightforward. This method of handling negative exponents is a fundamental rule in algebra that enhances understanding and application in various mathematical contexts.