Rational Exponents definitions Flashcards
Rational Exponents definitions
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RadicalAn expression involving a root, such as a square root or cube root, often represented with a radical symbol.ExponentA number indicating how many times a base is multiplied by itself in a power.Rational ExponentAn exponent expressed as a fraction, representing both a root and a power in a single notation.Fractional ExponentA type of exponent written as a fraction, where the numerator is the power and the denominator is the root.Square RootA value that, when multiplied by itself, gives the original number; equivalent to raising a number to the 1/2 power.IndexThe small number outside the radical symbol indicating which root is being taken, such as 2 for square root or 3 for cube root.BaseThe number or variable that is raised to a power in an exponential expression.Power RuleA rule stating that when raising a power to another power, the exponents are multiplied.DenominatorThe bottom part of a fractional exponent, representing the root in radical form.NumeratorThe top part of a fractional exponent, representing the power applied to the base.RootA value that, when raised to a specific power, yields the original number; indicated by the index in a radical.Radical ExpressionAn algebraic expression that includes a root, such as a square root or cube root.Radical SymbolThe symbol (√) used to denote the root of a number or expression.SquareThe result of multiplying a number or variable by itself; also the second power of a base.Cube RootA value that, when used three times in a multiplication, gives the original number; equivalent to raising a number to the 1/3 power.