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Mastering Exponents: Simplification and Properties for Effective Problem Solving

This lesson focuses on expanding and simplifying expressions using exponent properties. You will practice transforming expressions into one exponent form while gaining insights into the roles of exponents in computations. You'll explore multiplication and quotient rules, completing examples and exercises that strengthen your understanding. The class will include intrinsic properties (1 through 3) providing essential techniques for enhancing your math skills. Take note of the rules and practice diligently through classwork and homework assignments.

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Mastering Exponents: Simplification and Properties for Effective Problem Solving

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Presentation Transcript

  1. Warm up Expand the following expressions, then simplify your answers and rewrite them using one exponent. and

  2. Answer: and • What do you notice about the exponent in the answers and the exponents in the original problems?

  3. Multiplication and Quotient Rules

  4. Hand-Out • Keep this sheet in your notes! • Today, you will Master properties 1,2 and 3.

  5. Take a moment… • Read rules 1,2 and 3 and their examples.

  6. Examples of Property 1. Rewrite with a single exponent. • )

  7. Examples of property 2. • =

  8. Examples of Property 3.

  9. Trickier Examples • You divide the coefficients, then subtract the exponents.

  10. Trickier Examples

  11. Trickier Examples

  12. Trickier Examples

  13. Answer = =

  14. Classwork/Homework • 6.3: 3,4 • 6.5: 2,3,4

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