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We have come to ZAPP the Powers from the Earthlings

MATH IS FUN!!! M8N1 Students will understand different representations of numbers including square roots, exponents, and scientific notation. Element: i. Simplify expressions containing integer exponents. We have come to ZAPP the Powers from the Earthlings. SPONGE.

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We have come to ZAPP the Powers from the Earthlings

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  1. MATH IS FUN!!!M8N1 Students willunderstand different representations of numbers including square roots, exponents, and scientific notation.Element: i. Simplify expressions containing integer exponents. We have come to ZAPP the Powers from the Earthlings

  2. SPONGE WHAT IS ANOTHER WAY TO WRITE 6 X 6 ? REVIEW: WRITE A NUMBER FOR EACH Whole Natural or Counting Real Number Rational Irrational Integer

  3. M8N1 Let’s start by reviewing exponent laws!

  4. Multiplying powers … • If you are multiplyingpowers with the same base … 34 x 36 (here both numbers have a base of 3) Then … you keep the base the same and ADD the exponents 34 x 36 = 3 (4 + 6) = 310

  5. Try These…(Do them on a sheet with your name and the date – they will be collected next class!) Simplify. • (32)(34)

  6. Dividing powers … • If you are dividingpowers with the same base … 75 73 Then … you keep the base the same and you SUBTRACT the exponents 75٪ 73 = 7 (5 - 3) = 72

  7. Do these on your page … Simplify. 1. 25 22 2. k4 k

  8. Exponents of exponents … • If you have to simplify a power of a power with the same base … (25)3 Then … keep the base the same and MULTIPLY the exponents (25)3 = 25x3 = 215

  9. Do these on your page … Express as a single power. • (103)2 • (2813)0 • (6-1)-1

  10. Zero As An Exponent Except for 0, any base raised to the 0 power simplifies to be the number 1. Note that the exponent doesn’t become 1, but the whole expression simplifies to be the number 1. 3^0 = 1 

  11. But what if there are numbers and variables??? (-x2)100 The exponent must still be applied to EVERYTHING inside the bracket! (-x2)100 is the same as (-1x2)100 In this case, the 100 applies to the -1 AND the x2 (-1x2)100 = (-1)100(x2)100 = 1x2x100 = 1x200

  12. Ok, now for something a little bit new!!! You know how to simplify expressions with exponents, but sometimes you are asked to evaluate them after they are simplified. BUT … what do you do with a negative exponent?!?

  13. (3-2)(3-1) We know that when we multiply powers with the same base, we ADD the exponents … (3-2)(3-1) = 3(-2 + -1) = 3-3 How do we evaluate this??

  14. 3-3 Anytime you have a negative exponent, you can make it into a positive exponent by putting a 1 over number! 3-3 = 1 33 = 1 9

  15. Let’s see another one of those … If we have the following: 5-7 remember we SUBTRACT the 5-3 exponents 5-7 = 5(-7 - -3) = 5-4 5-3 Now, we simply put 5-4 under a 1  1_ 54 (it becomes positive) And we can evaluate it as we would any positive exponent … 1 = 1 54 625

  16. WORK PERIODCMP2Operating With Exponents From page in your textbook: Growing, Growing, Growing Page 62, 5.2 GROUPS: 3-4 Questions: A-D Presentations: Students will present

  17. Closing/Journal Writing How are the rules for multiplying and dividing powers of the same base alike? How are they different?

  18. HOME WORK WORKSHEET: GOOD LUCK EARTHLINGS

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