1. Warm Up
Find the pattern & the next term of each sequence
25, 5, 1, ….
12, 3, -6, …
0.01, 0.1, 1, …
-4, 8, -16, …

2. Homework Check - 6.1 1) X = -11/6 2) -18
3) Independent – time spent studying
Dependent – final exam score
4) m = 1
5) X < -5
6) (10+6)y or 16y
7) Y = 2x + 5
8) X = -5/8

3. Unit 6 – Day 2
Properties of Exponents
Take out a sheet of paper for today’s notes/practice..

4. Exponent Rules Review
Exponents are a “short-hand” way of multiplying the same quantity over and over. Example: What does X4 mean?

5. Try Some: Expand the following43 Y4
X2y5
w6z1

6. Using Exponents to simplify
Write using exponents
x*x*x*x
2*2*2*2*x*x*x*y*y
3*3*3*4*4*4*4*x

7. Zero as an exponent
Anything with an exponent of zero equals 1. (Check this in your calculator)
Ex)
x0 = 1
60 =
Y0 =

8. Negative Exponents
When you have a NEGATIVE exponent you turn it POSITIVE and FLIP it.
EX x-3

9. Try Some

10. Multiplication
When multiplying like bases you ADD exponents
Ex) x4x2

11. Try some!
X3x4
Y3x4y7
z3y2x5z5y6x10

12. Power to a Power Rule
When you have an exponent of an exponent you MULTIPLY the exponents
EX: (x4)3

13. Try Some!
(x)5
(x2y4)5
(2x3)6

14. Division
When you divide like bases you SUBTRACT exponents

15. Try Some

16. Growing Sequences
Arithmetic Sequence: goes from one term to the next by always adding (or subtracting) the same value
Common Difference : The number added (or subtracted) at each stage of an arithmetic sequence
Initial Term : Starting term
For example, find the common difference and the next term of the following sequence:
3, 11, 19, 27, 35, . . .

17. Growing Sequences
Geometric Sequence: goes from one term to the next by always multiplying (or dividing) by the same value
Common Ratio: The number multiplied (or divided) at each stage of a geometric sequence
Determine the common ratio r of the Brown Tree Snake Sequence.
1, 5, 25, 125, 625, . . .

18. Practice with Sequences

19. HW 6.2