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Exponent rules definitions
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Exponent
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Exponent
A small raised number indicating how many times a base is multiplied by itself in an expression.
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Termini in questo insieme (15)
Nascondere definizioni
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.