Quick Math Homework Help
Common Core Standard  N.RN.2

### Properties of Exponents Infographic

​Negative Exponent Property

Power of a Power Property

Power of a Product Property

Power of a Quotient Property

Product of Powers Property

Quotient of Powers Property

Rational Exponent Property

Zero Exponent Property

## Properties of Exponents

Exponents are used in Math as a shortcut to tell you how many times to multiply a number by itself. Exponents are sometimes called "powers" or "indices."
For example:
Exponents can also be written as follows: 3^2    4^5     6^4

​                               4^5

The video starts with reviewing the rules of negative exponents with basic problems then moves on to more complex examples of negative exponents

### Negative Exponents Video

The exponent can also be negative. Think of negative exponents as how many times one can be divided by this number raised to the power of the exponent.

3    =  1 ÷ ( 3 x 3 ) = 1 ÷ 9 = .111

Another way to look at a negative exponent is as follows

The base
The Exponent
The base
The exponent
4 x 4 x 4 x 4 x 4 = 1024
5 x 5 x 5 = 125
-2
14 Review the Definition of Exponents:
:36 Sample problem multiplying exponents
1:03 Sample problem multiplying negative exponents
1:39 Sample problem with an exponental expression raised to a power
2:15 Sample problem when you have a quantity squared
3:52 Sample problem negative exponental expression raised to a power
4:02 How to work with a negative exponent
4:19 Simplfying exponential fractions
5:05 Simplfying exponential fractions with positive and negative exponents

## Reviewing Laws of Exponents

Working with Negative Exponents
5 x 5 x 5