exponents integrated mathematics. multiplying using exponents 8 3 8 2 means 5 2 5 4 means what did...
TRANSCRIPT
![Page 1: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/1.jpg)
ExponentsINTEGRATED MATHEMATICS
![Page 2: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/2.jpg)
Multiplying Using Exponents
83 • 82 means52 • 54 means
What did we do with the exponents?
![Page 3: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/3.jpg)
Multiplying Using Exponents
Rule:
*When the bases are the same, add the exponents.
![Page 4: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/4.jpg)
Example 1
![Page 5: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/5.jpg)
Example 2
𝑎5∙𝑎3
![Page 6: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/6.jpg)
Example 3
𝑦 3∙ 𝑦 2∙ 𝑦5
![Page 7: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/7.jpg)
Example 4
(𝑚𝑛2)(𝑚4𝑛6)
![Page 8: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/8.jpg)
Example 5(−7 𝑥2 𝑦5)(4 𝑥 𝑦 3)
![Page 9: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/9.jpg)
Example 6
(4𝑚2)(2𝑚2)(−𝑚)
![Page 10: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/10.jpg)
Example 7
(−3𝑎)(4𝑎2)(−𝑎4)
![Page 11: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/11.jpg)
Practice: 1.2 • 25
2.g2 • g3
3.6c • 3c2
4.5b5 • 3b4
5.22 • 26
6.9ng6 • 6n3g4
7.6b2h3 • 3bh6
8.6n3 • 3n4k2
9.s6 • s5 • s3
10.k6g2 • 6k4g5 • 3kg4
11.6z3 • 5z5 • 9z2
![Page 12: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/12.jpg)
Raising a Power to a Power
Rule:
*Multiply the exponents
![Page 13: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/13.jpg)
Example 8
(35)4
![Page 14: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/14.jpg)
Example 9
(𝑦5)3
![Page 15: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/15.jpg)
Example 10
(𝑎6)3
![Page 16: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/16.jpg)
Example 11
(3 𝑦)2
![Page 17: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/17.jpg)
Example 12
(4 𝑥3)2
![Page 18: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/18.jpg)
Example 13
(5 𝑥3 𝑦5𝑧 2)4
![Page 19: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/19.jpg)
Example 14
(7 𝑥9 𝑦6)0
![Page 20: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/20.jpg)
Practice Problems1.
2.
3.
4.
5.
6.
7.
8.
9. 10. 11. 12. 13. 14. 15.
![Page 21: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/21.jpg)
Dividing Using ExponentsRule:
*When the bases are the same, subtract the exponents.
![Page 22: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/22.jpg)
Example 15
45
42
![Page 23: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/23.jpg)
Example 16
𝑥6
𝑥2
![Page 24: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/24.jpg)
Example 17
𝑝5𝑝7
𝑝2𝑝5
![Page 25: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/25.jpg)
Example 18
𝑔5
𝑔5
![Page 26: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/26.jpg)
Example 19
3𝑥4
6 𝑥2
![Page 27: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/27.jpg)
Example 20
10𝑥5 𝑦4
5 𝑥3 𝑦 2
![Page 28: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/28.jpg)
Negative Exponents
Rule:
* NEVER leave negative exponents in your answers!!
𝑎−𝑚=1
𝑎𝑚
![Page 29: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/29.jpg)
Example 21
5𝑚− 3
![Page 30: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/30.jpg)
Example 22
𝑎𝑏−1
![Page 31: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/31.jpg)
Example 23
2𝑥12𝑥4 𝑦 6
![Page 32: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/32.jpg)
Example 24
3𝑎2𝑏7
5𝑎5𝑏
![Page 33: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/33.jpg)
Example 25
𝑝0
![Page 34: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/34.jpg)
Example 26
3𝑣4𝑤6
24𝑣𝑤8
![Page 35: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/35.jpg)
Example 27
4𝑐3
16𝑐3
![Page 36: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/36.jpg)
Example 28
(52)6÷512
![Page 37: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/37.jpg)
Example 29
(25)2÷ 28
![Page 38: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/38.jpg)
Example 30
(39)3÷330
![Page 39: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/39.jpg)
Example 31
43 𝑥 (42)−4
![Page 40: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/40.jpg)
Example 32
113 𝑥11− 7
![Page 41: Exponents INTEGRATED MATHEMATICS. Multiplying Using Exponents 8 3 8 2 means 5 2 5 4 means What did we do with the exponents?](https://reader036.vdocuments.mx/reader036/viewer/2022062519/5697c01e1a28abf838cd11e8/html5/thumbnails/41.jpg)
Example 33
515 𝑥5− 8