Radical Functions and Rational Exponents Flashcards Preview

Algebra 2 > Radical Functions and Rational Exponents > Flashcards

Flashcards in Radical Functions and Rational Exponents Deck (43)
Loading flashcards...
1

Properties of exponents: a^0=
a≠

1
0

2

Properties of exponents: a^m/a^n=

a^m-n

3

Properties of exponents: a^-n=

1/a^n

4

Properties of exponents: (ab)^n=

a^nb^n

5

Properties of exponents: a^m X a^n=

a^m+n

6

Properties of exponents: (a/b)^n=

a^n/b^n

7

There is one real nth root of b, denoted to radical form n√b when

n is odd

8

There are two real nth roots of b when b is positive and

n is even.

9

When the n is even and b is positive, the positive root is the ... and its symbol is .
The negative root is its ________, or .

principal root.
n√b.
opposite
-n√b.

10

When n is even and b is negative, there are

no real nth roots of b.

11

What is the only nth root of 0?

0

12

If you write the √ sign, then you add

±

13

If the √ sign is already written, then it is

only +

14

When simplifying, there are none of these types of answers:

No decimal answers

15

What shows how many to find (and group)?

Index

16

What does n√a X n√b =, according to the combining radical expressions products property?

n√ab

17

What does n√a / n√b =, according to the combining radical expressions quotients property?

n√a/b

18

What can be used to separate the index and exponent in an expression?

Parentheses

19

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.

20

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."

21

If there is an even index, what does the answer receive?

±

22

Imaginary numbers (i) only show up in what types of problems?

Problems with square roots.

23

If the exponent is greater than 5...

It's not worth writing the long answer.

24

If the exponent is greater than 5, it's not worth writing the long answer unless

the base is small.

25

Radical expressions can only be added and subtracted if

the radicands are the same.

26

What still needs to be multiplied when adding and subtracting radical expressions?

Coefficients

27

In the number k^10/7, the 10 represents the

exponent

28

In the number k^10/7, the 7 represents the

index

29

If the exponent is greater than 1, the answer will be

bigger.

30

If the exponent is less than 1, the answer will be

smaller.