## Thursday, November 18, 2010

### Seppe's scribe post for November 18th

Today in class, we moved to the next chapter. Mr. Backe taught us power and exponents.

A power is a quick way of writing repeated same number multiplication.

Base is the number used as a factor for repeated multiplication.
Exponent is the number of times you multiply the base in a power by itself.

22 = two squared = (lh) = 2x2
23 = two cubed = (lhw) = 2x2x2

You could also say -two to the exponent of 2 or 3
-two to the second/third power

Ordinality describes position. eg. 1st, 2nd, 3rd.....

Here are some examples of how you do it....

24= 2x2x2x2 = 16
23= 2x2x2 = 8
22= 2x2 = 4
21= 2 = 2
20= 1

34= 3x3x3x3 = 81
33= 3x3x3 = 27
32= 3x3 = 9
31= 3 = 3
30= 1

Laws

Zero Exponent Law- any base to the exponent of zero is 1. (X0=1)
Exponent Law of One
- any base the exponent of 1 is itself. (X1=X)
Product Law- any powers with the same base when multiplied, add the exponents to get the new power. (73 x 75 = 78), (122 x 123 x 124 x 12=1210), or (am x an=am+n)

***Be careful when adding the exponents. Always remember that a number without an exponent (12) has a hidden one (1)

Quotient Law- when any powers with the same base are divided, subtract the exponents to get the new power. (44 / 42 = 42), (57 / 53 = 54), (am / an = am-n)

Power of a Power Law- when one (1) is raised to any exponent, it will always equal 1.

Power of a Power Law example...
14= 1x1x1x1 = 1
13= 1x1x1 = 1
12= 1x1 = 1
11= 1 = 1
10= 1

Here's a little video for you to watch :)