Flashcards in Radical Functions and Rational Exponents Deck (43)

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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