1. Powers
and
Exponents

2. 24 Base What are Powers? Exponent Numbers expressed using exponents.
(Otherwise known as exponential form) 24
Exponent
Base
Tells the number of times the base is used as a factor
The Factor that is multiplied.

3. Writing Powers from Exponential Form to Standard Form
24=
2 x 2 x 2 x 2
= 16
Standard Form
Exponential Form

4. When are Powers & Exponents used in real life?
In science, exponents are used all over the place, where they often appear as powers of the number 10 (it's called "scientific notation").
In business, people use exponents to describe how much money they make; and exponents are involved in the purchase of a house, or a loan to buy a car.
Earthquakes (maybe you've heard of the Richter scale)
how loud Sound is (the "decibel" level)
how bright Stars are (you might have heard of the "magnitude" of a star or galaxy).

5. Using a calculator is easy.
7 x 7 x 7 x 7 x 7 75
16,807
7 ^ 5 =

6. Your Turn:
Evaluate each power
Exponential Form
Standard Form
Evaluation
1). 25
2). 43
3). 54
4). 34
2 x 2 x 2 x 2 x 2
4 x 4 x 4
5 x 5 x 5 x 5
3 x 3 x 3 x 3
= 32
= 64
= 625
= 81

7. Your Turn: 6 x 6 x 6 x 6 x 6 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4
Change into exponential form
Standard Form
Exponential Form
6 x 6 x 6 x 6 x 6
4 x 4 x 4 x 4 x 4 x 4 x 4 x 4
13 x 13 x 14 x 14 x 14 x 15
3 x 3 x 3 x 3 65 48
132 x 143 x 151 34

8. Take it a step further, try this out.
Put this set of numbers in order from least to greatest.
{65, 114, 410, 173}
{114, 173, 65, 410}
Put this set of numbers in order from greatest to least.
{65, 94, 210, , , 173}
{65, 94, 173, 210, , }