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15 Cards in this Set

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Power
An expression written with a base and an exponent or the value of such an expression

4^2
Base
The number in a power that is used as a factor.

In 2^3,
2 is the base.
Exponent
The number that indicates how many times the base in a power is used as a factor

In 2^3,
3 is the exponent
Radicand
The expression under the radical sign

In ∛27,
27 is the radicand
Index
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
Rational Exponent
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
Radical function
A function whose rule contains a variable within a radical

f(x) = ∛x
Square root function
A function whose rule contains a variable under a square root sign.

f(x)= √x
Radical equation
An equation that contains a variable within a radical

2√(x+1)=14
radical inequality
An inequality that contains a variable within a radical

√(x-3)+ 2≤5
Extraneous solution
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
like radical terms
Radical terms having the same radicand and index

∛27and 4∛27
domain
The set of all possible input values of a relation or function
range
The set of all possible output values of a relation or function
simplify
To perform all indicated operations

3∛8= 6