S I M U L A T I O N M A N A G E M E N T Performance Assessment.
Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a...
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Transcript of Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a...
![Page 1: Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m.](https://reader035.fdocuments.us/reader035/viewer/2022081516/5697c00e1a28abf838cca1ca/html5/thumbnails/1.jpg)
Day 1 : Laws of Exponents
ReviewBook sections 7.1 and 7.4
a0 = 1 b-1 = (am)(an) = am + n
= am – n (ab)m = ambm
![Page 2: Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m.](https://reader035.fdocuments.us/reader035/viewer/2022081516/5697c00e1a28abf838cca1ca/html5/thumbnails/2.jpg)
Do not copy:
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Roots and Rational Exponents
If
Then
New Law: Rational Exponents
= 3
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Roots and Rational Exponents
If
Then
New Law: Rational Exponents
You may choose whether to find the root
or the power first!
You may choose whether to find the root
or the power first!
![Page 5: Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m.](https://reader035.fdocuments.us/reader035/viewer/2022081516/5697c00e1a28abf838cca1ca/html5/thumbnails/5.jpg)
Simplify Exponents with Fractions
1.
2.
3.
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You try on your marker board
The teacher will show you 10 problems on the smart board. The student will rearrange the form of the equation from:
Exponential to Radical
or
Radical to Exponential
![Page 7: Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m.](https://reader035.fdocuments.us/reader035/viewer/2022081516/5697c00e1a28abf838cca1ca/html5/thumbnails/7.jpg)
2
1
x
Convert from Exponential to Radical (marker board)
5
2
a
3
1
1
c
3
2
9
2
3
3
x
25 a
31
c 3 c
23 9 3 81
3 327 3 33
33 27
39
33
Everyone to marker board and work with your number partner
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c
Convert from Radical to Exponential (marker board)Don’t simplify anything!
3 m
23 4
3 24
23 8
2
1
c
3
1
m
3
2
4
3
2
4
3
2
8
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Back to Notes: Simplify ExponentialsAssume all variables are positive
4. 5.
6. 7.
2
7
f
ff 3
3
2
642
3 6424 16
23
3
2
k
k
9
8 2
3
k
k k9
8
103 98 ff
1372 f
2
13f
![Page 10: Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m.](https://reader035.fdocuments.us/reader035/viewer/2022081516/5697c00e1a28abf838cca1ca/html5/thumbnails/10.jpg)
Simplify Radicals8. 9.
10. 11. 12.
3 125
106425 zyx
5
4
5
5
5
54
3 555
5
5325 zyx 25x
5x
3 756332 rqpm
3 26363 48 rqrqpm
3 222 42 rqqrmp
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Practice Laws of Exponents
13. 14.
262
1296
16
8
cba
cba
2
1034 cba
)9(
44
60
m
hg
6
4
9
4
h
m
![Page 12: Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m.](https://reader035.fdocuments.us/reader035/viewer/2022081516/5697c00e1a28abf838cca1ca/html5/thumbnails/12.jpg)
More Simplifying with exponentsAssume all variables are positive
15. 16.
17. 18.
323
5 32
8
21
x 2
1
1
x
x
1
x
x
x
x
64
3
16
1y
6
4 316
1y
8
6y
5
2
1
32
1
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30-60-90 Right Triangle
2x
60°
60°
60°
![Page 14: Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m.](https://reader035.fdocuments.us/reader035/viewer/2022081516/5697c00e1a28abf838cca1ca/html5/thumbnails/14.jpg)
45-45-90 Right Triangle
X
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THEN
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49142 xx
1. Simplify 2. Find x 3. Find x 4. Simplify 5. Simplify.
)5()3( 32220 bcba
xq
q
q
2
1
3
7
4 816y
Extra Practice on HW 7.1: Work this out in your math notebook.
Assume all variables are positive.
32
64
![Page 17: Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m.](https://reader035.fdocuments.us/reader035/viewer/2022081516/5697c00e1a28abf838cca1ca/html5/thumbnails/17.jpg)
49142 xx
1. Simplify 2. Find x 3. Find x 4. Simplify 5. Simplify.
)5()3( 32220 bcba
xq
q
q
2
1
3
7
4 816y
Extra Practice on HW 7.1: Work this out in your math notebook.
Assume all variables are positive.
32
64
22y4
745
c
b
6
11x 16
17x
![Page 18: Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m.](https://reader035.fdocuments.us/reader035/viewer/2022081516/5697c00e1a28abf838cca1ca/html5/thumbnails/18.jpg)
6. Simplify. 7. Simplify. 8. Simplify. 9. If 4 is the leg of a 45-45-90 triangle, find the other sides.
10. Simplify.
Extra Practice on HW 7.1: Work this out in your math notebook.
Assume all variables are positive.
5
3
3
17
v
3 11554 wx 293
2720
10
5
cb
cba
1
2
1
3
![Page 19: Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m.](https://reader035.fdocuments.us/reader035/viewer/2022081516/5697c00e1a28abf838cca1ca/html5/thumbnails/19.jpg)
6. Simplify. 7. Simplify. 8. Simplify. 9. If 4 is the leg of a 45-45-90 triangle, find the other sides.
10. Simplify.
Extra Practice on HW 7.1: Work this out in your math notebook.
Assume all variables are positive.
5
3
3
17
v
3 11554 wx 293
2720
10
5
cb
cba
424
1
cb
4.3
5 23
5
17
v
not
vv
or
v
3 223 23 xwxw
424 and3
3
1
2
1
3
![Page 20: Day 1 : Laws of Exponents Review Book sections 7.1 and 7.4 a 0 = 1 b -1 = (a m )(a n ) = a m + n = a m – n (ab) m = a m b m.](https://reader035.fdocuments.us/reader035/viewer/2022081516/5697c00e1a28abf838cca1ca/html5/thumbnails/20.jpg)
HOMEWORK 7.1 due next class!!!
33 Questions