indekssummasjonsregler
Indekssummasjonsregler, also known as index laws or exponent rules, are a set of mathematical principles used to simplify expressions involving exponents. These rules apply to both positive and negative exponents, as well as to fractional and irrational exponents. The primary index laws include:
1. Product of Powers: When multiplying two expressions with the same base, you can add the exponents.
2. Quotient of Powers: When dividing two expressions with the same base, you can subtract the exponents.
3. Power of a Power: When raising an expression to a power, you can multiply the exponents.
4. Zero Exponent: Any non-zero number raised to the power of zero is equal to 1. For
5. Negative Exponent: A negative exponent indicates that the base is in the denominator. For example, a^-n
6. Fractional Exponent: A fractional exponent indicates that the base is the radicand and the denominator of
These rules are fundamental in algebra and calculus, allowing for the simplification of complex expressions and