1. Negative & Zero Exponents

2. Agenda New seating plan Homework Check Warm up Review
Patterns in Powers
Radioactive Decay
TOC

3. Warm up
Seating Plan
Homework Check
Mr. and Mrs. Wright

4. y = 2(x+1)(x-7)
(-1,0)
(7,0)
(3, -32)

5. y = 2(x+1)(x-7) Find the zeroes of the parabola -1 & 7
Find the axis of symmetry
x = (-1+7) = 6 = x = 3
Find the vertex coordinates
y = 2(3+1)(3-7) = 2(4)(-4) = 8(-4) = -32
(3, -32)

6. Patterns in Powers
What pattern do you observe between the consecutive answers?
Will this ever reach a value of 0?
What does this look like on a graph?
Power of 2
Evaluate 25 32 24 16 23 8 22 4 21 2 20 1
2-1
½ = 0.5
2-2
¼ = 0.25
2-3
1/8 = 0.125
2-4
1/16 =
2-5
1/32 =

7. Plotting 2x

8. Exponent Laws
Fill out the following table, and write a rule for a base raised to a negative exponent
Expression
Expand and Divide
Exponent Law 33 35
3 x 3 x = = 1
3 x 3 x 3 x 3 x x
33 = 33-5 = 3-2 41 43
= = 1
4 x 4 x x
41-3 = 4-2 24 27
2 x 2 x 2 x = = 1
2 x 2 x 2 x 2 x 2 x 2 x x 2 x
24-7 = 2-3
(-5)2
(-5)3
(-5) (-5) = 1
(-5) (-5) (-5) (-5)
(-5)2-3 = (-5)-1
(-2)3
(-2)5
(-2) (-2) (-2) = = 1
(-2) (-2) (-2) (-2) (-2) (-2) (-2) (-2)2
(-2)3-5 = (-2)-2

9. Exponent Laws
Fill out the following table, and write a rule for a base raised to the exponent 0
Expression
Expand and Divide
Exponent Law 35
3 x 3 x 3 x 3 x 3 = 1
3 x 3 x 3 x 3 x 3
33 = 33-3 = 30 33 52
5 x 5 = 1
5 x 5
52-2= 50 43
4 x 4 x 4 = 1
4 x 4 x 4
43-3 = 40
(-3)4
(-3) (-3) (-3) = 1
(-3) (-3) (-3)
(-3)4-4 = (-3)0
(-2)2
(-2) (-2) = 1
(-2) (-2)
(-2)2-2 = (-2)0

10. Radioactive Decay
Carbon-14 is a radioactive element that decays to 1/2 , or 2-1, of it’s original amount after every 5700 years. Determine the remaining mass of 10 g of carbon-14 after
A) years
B) years

11. Radioactive Decay 11 400 = 2 (2 half lives) 5700
10 x 2-2 = 10 x 1 = 10 x ¼ = 2.5 22
= 5 (5 half lives)
10 x 2-5 = 10 x 1 = 10 x 1 =

12. TOC If any number is raised to the power 0, the answer is ___ Homework
Pg. 199 Q # 1, 2, 6, 11, 14
Chapter Review tomorrow & Friday!