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15 Cards in this Set
- Front
- Back
Power
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An expression written with a base and an exponent or the value of such an expression
4^2 |
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Base
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The number in a power that is used as a factor.
In 2^3, 2 is the base. |
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Exponent
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The number that indicates how many times the base in a power is used as a factor
In 2^3, 3 is the exponent |
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Radicand
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The expression under the radical sign
In ∛27, 27 is the radicand |
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Index
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In the radical √(n&x), which represents the nth root of x, n is the index. In the radical √x, the index is understood to be 2.
In ∛27, 3 is the index |
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Rational Exponent
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An exponent that can be expressed as m/n such that if m and n are integers, then b^(m/n)= √(n&b^m )=(〖√(n&b) )〗^m
In, 4^(3/2) 3/(2 ) is the rational exponent |
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Radical function
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A function whose rule contains a variable within a radical
f(x) = ∛x |
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Square root function
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A function whose rule contains a variable under a square root sign.
f(x)= √x |
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Radical equation
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An equation that contains a variable within a radical
2√(x+1)=14 |
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radical inequality
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An inequality that contains a variable within a radical
√(x-3)+ 2≤5 |
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Extraneous solution
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A solution of a derived equation that is not a solution of the original equation
-2 is an extraneous solution to √(x+18)=x-2 |
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like radical terms
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Radical terms having the same radicand and index
∛27and 4∛27 |
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domain
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The set of all possible input values of a relation or function
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range
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The set of all possible output values of a relation or function
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simplify
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To perform all indicated operations
3∛8= 6 |