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Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.

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. 4 3 5. y 2 6. m –4. Learning Targets. Use the Power of a Product Property. Use the Power of a Power Property.

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Warm Up Write each expression using an exponent. 1. 2 • 2 • 2 2. x • x • x • x 3.

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  1. 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

  2. Learning Targets Use the Power of a Product Property Use the Power of a Power Property

  3. 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.

  4. Example 1: Finding Products of Powers Simplify. 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.

  5. http://my.hrw.com/math11/math06_07/nsmedia/lesson_videos/alg1/player.html?contentSrc=6359/6359.xmlhttp://my.hrw.com/math11/math06_07/nsmedia/lesson_videos/alg1/player.html?contentSrc=6359/6359.xml

  6. 1 Example 1: Finding Products of Powers Simplify. C. Group powers with the same base together. Add the exponents of powers with the same base. D. Group the positive exponents and add since they have the same base Add the like bases.

  7. On Your Own Example 1 Simplify. c. a. d. b.

  8. Notice the relationship between the exponents in the original power and the exponent in the final power: To find a power of a power, you can use the meaning of exponents.

  9. Example 3: Finding Powers of Powers Simplify. Use the Power of a Power Property. Simplify. Use the Power of a Power Property. Zero multiplied by any number is zero Any number raised to the zero power is 1. 1

  10. http://my.hrw.com/math11/math06_07/nsmedia/lesson_videos/alg1/player.html?contentSrc=7725/7725.xmlhttp://my.hrw.com/math11/math06_07/nsmedia/lesson_videos/alg1/player.html?contentSrc=7725/7725.xml

  11. Example 3: Finding Powers of Powers Simplify. Use the Power of a Power Property. C. Simplify the exponent of the first term. Since the powers have the same base, add the exponents. Write with a positive exponent.

  12. On Your Own Example 3 Simplify. c.

  13. Example 4: Finding Powers of Products Simplify. A. Use the Power of a Product Property. Simplify. B. Use the Power of a Product Property. Simplify.

  14. http://my.hrw.com/math11/math06_07/nsmedia/lesson_videos/alg1/player.html?contentSrc=7726/7726.xmlhttp://my.hrw.com/math11/math06_07/nsmedia/lesson_videos/alg1/player.html?contentSrc=7726/7726.xml

  15. Example 4: Finding Powers of Products Simplify. C. Use the Power of a Product Property. Use the Power of a Product Property. Simplify.

  16. On Your Own Example 4 Simplify. c.

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