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Warm Up

I can simplify expressions with exponents. What is the value of 3x 3 +2 when x=10? You put $500 in an account that doubles every year. What is the equation for this situation? How much money would you have after 4 years?. Warm Up. (x=years y=money). Homework Questions.

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Warm Up

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  1. I can simplify expressions with exponents. What is the value of 3x3+2 when x=10? You put $500 in an account that doubles every year. What is the equation for this situation? How much money would you have after 4 years? Warm Up (x=years y=money)

  2. Homework Questions

  3. What an Exponent Represents • An exponent tells how many times a number is multiplied by itself. 4 = 3  3  3 3 = 81 3

  4. How do you say this? three to the third power or three cubed Exponent 3 3 Base

  5. How do you say this? three to the 2ndpower Or three squared Exponent 3 2 Base

  6. Practice: Write in many different ways 1. 9  9 = 2. 8  8  8  8 = 4096 eight x 3. x  x  x  x  x =

  7. Exponent Rules

  8. Part 1 Product Rule: Multiply same base, add the exponents Example:

  9. Part 2 Quotient Rule: Divide same base, subtract the exponents Example:

  10. Part 3 Power Rule: Same base, multiply the exponents Example:

  11. Part 4 Expanded Power Rule: Apply outside exponent to all parts inside parenthesis Example:

  12. Part 5 Expanded Power Rule (cont): = Apply outside exponent to all parts inside parenthesis Example:

  13. Part 6 Zero Exponent Rule: Any base raised to 0 equals 1. Example:

  14. NOTES

  15. Negative Exponents • Negative exponents tell you how many times you should divide by a number • Negative exponents move the base to bottom of a fraction Note: the exponent becomes positive

  16. Negative Exponents

  17. Partners • Find a partner with a different letter • Compare and check each others answers

  18. Worksheet Complete any 10 problems

  19. What’s the difference? 1) 2)

  20. What’s the difference? 3) 4)

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