Product property of roots

The square root of a product equals the product of the square roots of the factors.

Quotient property of roots

The square root of a quotient is equal to the quotient of the square roots.

product of powers property

This property tells us how to simplify products that have two powers, and the same base. This property says that for all m and n, and all nonzero b, bm bn= bm+n. This allows us to group factors with the same base.

quotient of powers property

to divide two powers with the same nonzero base, subtract the exponent of the denominator from the exponent of the numerator

power of a power property

Multiply the power outside the parenthesis by the power of each base inside the parenthesis

power of a product property

find the power of each product and multiply

power of a quotient property

to find a power of a quotient, find the power of the numerator and the power of the denominator and divid

set

A group of numbers, variables, geometric figures, or just about anything. Sets are written using set braces {}. For example, {1,2,3} is the set containing the elements 1, 2, and 3.

element

member of a set

subset

Elements of the set of intergers are also elements of the set of rational numbers.

closure

term used in algebra to give real numbers of a given equation either in addition, multiplication or division.

rational number

A number that can be written as a/b where a and b are both integers and b does NOT = 0.

irrational number

Any real number which cant be expressed as a fraction of two integers

natural numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbers.

whole numbers

1,2,3,4, etc. a number that is not broken up into a part of a number

integers

Positive and Negative Whole Numbers and 0. Examples: .... -3, -2, -1, 0, 1, 2, 3.....(Does not include fractions or decimals)