Flashcards in Radical Functions and Rational Exponents Deck (43)
Properties of exponents: a^0=
Properties of exponents: a^m/a^n=
Properties of exponents: a^-n=
Properties of exponents: (ab)^n=
Properties of exponents: a^m X a^n=
Properties of exponents: (a/b)^n=
There is one real nth root of b, denoted to radical form n√b when
n is odd
There are two real nth roots of b when b is positive and
n is even.
When the n is even and b is positive, the positive root is the ... and its symbol is .
The negative root is its ________, or .
When n is even and b is negative, there are
no real nth roots of b.
What is the only nth root of 0?
If you write the √ sign, then you add
If the √ sign is already written, then it is
When simplifying, there are none of these types of answers:
No decimal answers
What shows how many to find (and group)?
What does n√a X n√b =, according to the combining radical expressions products property?
What does n√a / n√b =, according to the combining radical expressions quotients property?
What can be used to separate the index and exponent in an expression?
What happens with the phrase, "The grass is always greener on the other side?"
The negative signs fall off the numbers when they move over the fraction.
What is the phrase that goes with the negative signs falling off when they mover over the fraction?
"The grass is always greener on the other side."
If there is an even index, what does the answer receive?
Imaginary numbers (i) only show up in what types of problems?
Problems with square roots.
If the exponent is greater than 5...
It's not worth writing the long answer.
If the exponent is greater than 5, it's not worth writing the long answer unless
the base is small.
Radical expressions can only be added and subtracted if
the radicands are the same.
What still needs to be multiplied when adding and subtracting radical expressions?
In the number k^10/7, the 10 represents the
In the number k^10/7, the 7 represents the
If the exponent is greater than 1, the answer will be