Number System
Exponent Rules
Simplifying Radicals
Rational to Radical
Vocabulary
100

-18 is what classification of numbers?  Must list ALL that apply!

Integer, Rational

100

When multiplying like bases you _____ the exponents

add

100

sqrt80

4sqrt5

100

Rational exponents are exponents that are _________.

Fractions

100

Counting Numbers are also called __________.

natural numbers
200

We always _________ a fraction to a _________ before we categorize it.

change (convert), decimal
200

8a^4b^3*4a^7b

32a^11b^4

200

sqrt108

6sqrt3

200

Convert to a radical  

x^(5/4)

4sqrt(x^5)

200

Smaller numbers that multiply to equal a larger number

Factors

300

Rational decimals will either have a ___________ decimal or a ___________  decimal.

terminating (ending), repeating (pattern)

300

(m^8n^6)/(m^2n)

m^6n^5

300

2sqrt96

8sqrt6

300

Invisible roots are ____ and invisible powers are _____. (numbers must be written in the order of the blanks.)

2 and 1

300

The set of whole numbers and their opposite.

Integers

400

All rational numbers are integers (T/F)

False
400

(4x^0y^4)^-2

1/(16y^8)

400

-10sqrt240

-40sqrt15

400

Convert to a rational exponent:

sqrt(m^5)

m^(5/2)

400

The number in front of a variable or radical

Coefficient

500

4 is what classification of number?  Must list ALL that apply.

Natural, Whole, Integer, Rational

500

(16y^3)/((2x^6y^5)^2

4/(x^12y^7)

500

-14sqrt256

-224

500

Convert to a rational exponent:

sqrt5

5^(1/2)

500

The mathematical name for a square root sign.

Radicand