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Do Now

Do Now. Solve the equation: 1.) 2x ² = x ² + 4 2.) (5+i) + (3+2i) 3.) x ² = -64. Chapter 2.1 Use Properties of Exponents. SWBAT: Simplify expressions involving powers. Properties of Exponents. Solving exponents 2 5 2*2*2*2*2.

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Do Now

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  1. Do Now Solve the equation: 1.) 2x² = x² + 4 2.) (5+i) + (3+2i) 3.) x² = -64

  2. Chapter 2.1Use Properties of Exponents SWBAT: Simplify expressions involving powers.

  3. Properties of Exponents Solving exponents 25 2*2*2*2*2

  4. What about if we multiplied two exponents with the same base? 25*23 Notice that we have the same BASE of 2. Now we can rewrite the exponents 2*2*2*2*2 * 2*2*2 Count them up! 28

  5. Do we have a rule for this? What if we had am * an We have the same base! So, We can add the exponents! am+n

  6. What if we are dividing? Lets look at base 2 again. 25 23 Break it up 2*2*2*2*2 2*2*3 This leaves us with just 2*2, or 22

  7. Dividing fractions property am an am-n

  8. All of our properties!

  9. Super Base • https://www.youtube.com/watch?v=QIZTruxt2rQ

  10. Practice • (42)3 • (-8)(-8)3 • (2/9)3

  11. Practice • (53)(52) • (2)0 • (2)-1

  12. Practice • (43)5 • (4*2)4 • (79/72)

  13. Scientific Notation A number is expressed in scientific notation if it is in the form c x 10n and n is an integer. We can use 10 as an exponent to make large and small numbers easier to deal with. 790,000,000 7.9 x 108

  14. Write the following numbers in scientific notation • .000057 • 3800000 • .000000009

  15. Using scientific notation to solve a problem! 85000000 * 1200 Break it up 8.5 * 107 * 1.2 * 103 8.5 * 1.2 * 107 * 103 10.2 * 1010 1.2 * 10 * 1010 1.2 * 1011

  16. Homework Page 91 2-34 Even

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