Exponents. 6³ Exponent Base 6³ is read “Six Cubed” 6³ = 6 x 6 x 6 6³ = 216.
Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.
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Transcript of Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.
![Page 1: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/1.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
Warm Up
Write each expression using an exponent.1. 2 • 2 • 2
2. x • x • x • x
3.
Write each expression without using an exponent.
4. 43
5. y2
6. m–4
![Page 2: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/2.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
Use the Power of a Product Property
Learning Targets
Use the Power of a Power Property
![Page 3: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/3.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
![Page 4: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/4.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
Products of powers with the same base can be found by writing each power as a repeated multiplication.
Notice the relationship between the exponents in the factors and the exponents in the product 5 + 2 = 7.
![Page 5: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/5.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
Simplify.
Example 1: Finding Products of Powers
A.
Since the powers have the same base, keep the base and add the exponents.
B.
Group powers with the same base together.
Add the exponents of powers with the same base.
![Page 6: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/6.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
http://my.hrw.com/math11/math06_07/nsmedia/lesson_videos/alg1/player.html?contentSrc=6359/6359.xml
![Page 7: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/7.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
Simplify.
Example 1: Finding Products of Powers
C.
D.
1
Group powers with the same base together.
Add the exponents of powers with the same base.
Group the positive exponents and add since they have the same base
Add the like bases.
![Page 8: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/8.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
On Your Own Example 1
a. Simplify.
b.
c.
d.
![Page 9: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/9.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
To find a power of a power, you can use the meaning of exponents.
Notice the relationship between the exponents in the original power and the exponent in the final power:
![Page 10: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/10.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
Simplify.
Example 3: Finding Powers of Powers
Use the Power of a Power Property.
Simplify.
1
Use the Power of a Power Property.
Zero multiplied by any number is zero
Any number raised to the zero power is 1.
![Page 11: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/11.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
http://my.hrw.com/math11/math06_07/nsmedia/lesson_videos/alg1/player.html?contentSrc=7725/7725.xml
![Page 12: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/12.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
Simplify.
Example 3: Finding Powers of Powers
Use the Power of a Power Property.
Simplify the exponent of the first term.
Since the powers have the same base, add the exponents.
Write with a positive exponent.
C.
![Page 13: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/13.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
On Your Own Example 3
Simplify.
c.
![Page 14: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/14.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
Example 4: Finding Powers of Products
Simplify.
Use the Power of a Product Property.
Simplify.
Use the Power of a Product Property.
Simplify.
A.
B.
![Page 15: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/15.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
http://my.hrw.com/math11/math06_07/nsmedia/lesson_videos/alg1/player.html?contentSrc=7726/7726.xml
![Page 16: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/16.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
Example 4: Finding Powers of Products
Simplify.
Use the Power of a Product Property.
Use the Power of a Product Property.
Simplify.
C.
![Page 17: Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.](https://reader036.fdocuments.net/reader036/viewer/2022081515/56813745550346895d9ed8c8/html5/thumbnails/17.jpg)
Holt Algebra 1
70 Multiplication Properties of Exponents
On Your Own Example 4
Simplify.c.