Exponents definitions Flashcards
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ExponentA small number written above and to the right of a base, indicating how many times the base is multiplied by itself.BaseThe number or variable that is repeatedly multiplied in an exponential expression.Product RuleA rule stating that when multiplying like bases, their exponents are added together.Quotient RuleA rule stating that when dividing like bases, the exponent in the denominator is subtracted from the exponent in the numerator.Power RuleA rule stating that when raising a power to another power, the exponents are multiplied.Power of a ProductA rule stating that an exponent outside parentheses distributes to each factor inside the parentheses.Power of a QuotientA rule stating that an exponent outside parentheses distributes to both the numerator and denominator of a fraction.Zero ExponentAny nonzero base raised to this exponent equals one.Negative ExponentIndicates the reciprocal of the base raised to the corresponding positive exponent.ReciprocalA value obtained by inverting a fraction; used when rewriting expressions with negative exponents.ParenthesesSymbols used to group terms, affecting how exponents distribute in expressions.SimplificationThe process of applying exponent rules to rewrite expressions in their most reduced form.Like BasesBases that are identical, allowing the use of product and quotient rules for exponents.ChecklistA systematic approach for ensuring all exponent rules are applied and expressions are fully simplified.Distributive PropertyA property allowing an exponent to be applied to each term within parentheses, similar to multiplication distribution.