Unit 5- Exponent Rules

SUMMARY OF KNOWLEDGE
One of the main and primary goals for this investigation was to learn the order of operations. This included exponents. Exponents need a complex process in order to work out. Students should understand multiplication to work with exponents. Another goal was to use exponents to shorten equations for easier solving.
KEY VOCABULARY:

Exponents: Small number (in size) located on the top right part of another number, to represent the power to which the second is to be raised up.
Ex: 6^4= 6×6×6×6= 1296
Base: The bigger number below the exponent, called factor too, that is multiplied by itself.
Ex: 6^4= 6 is the base of this example

TASK ANALYSIS:

When we want to solve a number called Base (B) "Powered" to Exponent (E). (y=B^e)
First we must see the value of "E". If it is zero, then any base "powered" to zero is (1). (y=B^0=1)
If "e" is greater than zero, then B^e=B*B*B...*B. The result is the multiplication of B*B as many times as the value of "e" indicates.
If "e" is less than zero, (negative number) then B^-e
1/(B^e)
EXAMPLES:
1._ 6^0 = 1
2._ 6^4 = 6x6x6x6
3._ 6^-2 = -2/6^-2 = 6x6

1._ 6^0 = 1
2._ 6^4= 6x6x6x6x
1._ 3^2x3^7=3^9
2._ [(5^2)^3] ^2=5^3×2=5^6
3._ y^3/y^5=y^-2
4._ (6×5)^3=6^3×5^3

Here are some useful links that will help you with exponents for the final exam:
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_ExponentsRules.xml
http://www.purplemath.com/modules/exponent.htm

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