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Radicals and Exponents
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Terms in this set (20)
exponent
A mathematical notation indicating the number of times a quantity is multiplied by itself
radical
the inverse of an exponent
index
the value inside the radical symbol that specifies which root
Pythagorean Theorem
the length of the hypotenuse equals the square root of the sum of the legs of a right triangle
distance formula
the square root of the quantity of the difference between the x-values squared plus the difference between the y-values squared
rational exponent
an exponent in fraction form
product rule
when multiplying terms with the same base, add the exponents
quotient rule
when dividing terms with the same base, subtract the exponents
power rule
when an exponent appears outside of a parentheses, multiply the exponents
power to product rule
the exponent outside of the parentheses is multiplied by all of the exponents inside the parentheses
power to quotient rule
the exponent outside the parentheses multiplies each exponent of the terms in the quotient
zero exponent rule
any term with a zero exponent equals one
negative exponent rule
make a negative exponent positive by moving the base and exponent to the reciprocal position
inverse operations
operations that undo each other
domain
all possible x-values of a function or relation
range
all possible y-values of a function or relation
direct variation
a function where both variables either increase or decrease at a constant rate
inverse variation
a curved function whose graph shows that as one variable increases, another decreases
extraneous solution
a solution to an equation that does not satisfy the original equation
division by zero
is undefined
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