Rational Exponents definitions Flashcards
Rational Exponents definitions
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Radical Expression An algebraic form involving a root, such as a square root or cube root, often rewritten using fractional exponents. Rational Exponent A fractional exponent where the numerator indicates the power and the denominator indicates the root or index. Fractional Exponent An exponent expressed as a fraction, representing both a power and a root in a single notation. Square Root A value that, when multiplied by itself, gives the original number; equivalent to raising a number to the one-half power. Cube Root A value that, when used three times in multiplication, results in the original number; represented by an exponent of one-third. Index The number indicating the degree of the root in a radical, corresponding to the denominator in a fractional exponent. Exponent A number indicating how many times a base is used as a factor; can be an integer or a fraction. Base The number or variable that is raised to a power in an exponential or radical expression. Power Rule A property stating that when raising a power to another power, the exponents are multiplied. Denominator The bottom part of a fractional exponent, representing the root or index in radical form. Numerator The top part of a fractional exponent, indicating the power applied to the base inside the radical. Inverse Operation A mathematical process that reverses the effect of another, such as squaring and taking a square root. Radical Symbol The notation used to indicate a root, typically written as a checkmark-like sign with an index. Equivalent Expression Two different forms that represent the same mathematical value, such as a radical and its corresponding rational exponent. Variable A symbol, often a letter, representing an unknown or changeable value in algebraic expressions.
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