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Exponent rules definitions

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  • Exponent
    A small raised number indicating how many times a base is multiplied by itself in an expression.
  • Base
    The main number or variable that is repeatedly multiplied according to the value of the exponent.
  • Product Rule
    A shortcut for multiplying like bases by adding their exponents, streamlining lengthy calculations.
  • Quotient Rule
    A method for dividing like bases by subtracting the denominator's exponent from the numerator's exponent.
  • Power Rule
    A rule for simplifying powers raised to powers by multiplying the exponents together.
  • Power of a Product
    A rule where an exponent outside parentheses is distributed to each factor inside the parentheses.
  • Power of a Quotient
    A rule where an exponent outside parentheses is distributed to both the numerator and denominator.
  • Zero Exponent
    A rule stating any nonzero base raised to the zero power equals one, simplifying many expressions.
  • Negative Exponent
    A rule indicating that a negative exponent means taking the reciprocal and using a positive exponent.
  • Reciprocal
    A flipped version of a fraction or term, often used when handling negative exponents.
  • Like Bases
    Bases that are identical, allowing exponent rules such as addition or subtraction to be applied.
  • Parentheses
    Grouping symbols that indicate which terms an exponent applies to, affecting distribution and simplification.
  • Simplification
    The process of using exponent rules to rewrite expressions in their shortest, most efficient form.
  • Distributive Property
    A property allowing an exponent to be applied to each term inside parentheses, similar to multiplication distribution.
  • Order of Operations
    A sequence for evaluating expressions, ensuring exponents are handled before multiplication or division.