## Teaching Textbooks Chapter 12: Powers, Polynomials and radicals

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JenRosio  on March 30, 2012

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# Teaching Textbooks Chapter 12: Powers, Polynomials and radicals

 The fifth operation of algebra is..........raising a number to a power.
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#### Definitions

The fifth operation of algebra is.......... raising a number to a power.
Base
The big number down below the little exponent. In this case it is the 10.
Exponent
The little number in the upper right. In this case it is the 9.
Raised to a power When a repeated multiplication is written with a power we say that the base has been "raised to a power."
Squared Raised to the power of 2, like when you are finding the square footage of a square
Cubed Raised to the power of 3, like when you are doing volume
In scientific notation what does the exponent tell you? (LESSON 92)
the exponent tells you how many zeros go after the number
What are the steps to putting a number into scientific notation? (LESSON 92) 1. Move the decimal point in the original number to the left as many times as necessary for the number to be between 1 and 10 (and count the number of places).
2. Take the new smaller number and multiply it by a power of 10 with an exponent equal to the number of places you moved the decimal point.
Adding powers: you can add the coefficients of an X if the X's are raised to the same power (Lesson 94)
Subtracting powers: you can subtract the coefficients of an X if the X's are raised to the same power (Les. 94)
Don't subtract or add coefficients of the X if the X's are not the same power; they have to be "like terms" (Les. 94)

THESE CANNOT BE ADDED! THEY ARE UNLIKE TERMS:
Do not multiply the base by the exponent!
With tougher cases.....from lesson 96
Any number raised to the first power is that number
To divide with exponents, just subtract the exponents. (Lesson 97)
We can only divide powers by subtracting when the bases are the same! (Lesson 97)
The sixth power of algebra is.... (Lesson 99) taking a root.
How is a root shown? (lesson 99)
Roots and powers are inv.....(lesson 100)
Roots and powers are INVERSE OPERATIONS. So a square root undoes a power.
To undo: the root and the power have to have the same degree.
Using an exponent of 1 helps you divide and multiply powers
What does a zero exponent equal?
Any base with an exponent of zero is AUTOMATICALLY equal to 1

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