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8.1 Laws of Exponents

8.1 Laws of Exponents. Whenever we have variables which contain exponents and have equal bases, we can do certain mathematical operations to them. Those operations are called the “Laws of Exponents”. b x b = base x = exponent. Laws of Exponents.

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8.1 Laws of Exponents

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  1. 8.1 Laws of Exponents Whenever we have variables which contain exponents and have equal bases, we can do certain mathematical operations to them. Those operations are called the “Laws of Exponents” bx b = base x = exponent

  2. Laws of Exponents It is very important that you not just memorize laws of exponents. You MUST understand how they were discovered and why they work. Let’s begin . . .

  3. Example 1

  4. First Law of Exponents – Product of Powers - “When you multiply the same base, you keep the base and ADD the exponents.”

  5. Example 2

  6. Second Law of Exponents – Power of a Power - “To find a power to a power, keep the base, and MULTIPLY the exponents.”

  7. Let’s try some . . . and show work!!!

  8. Let’s check . . .

  9. REMINDER . . . Don’t let yourself be tricked by this one!!!

  10. Example 3

  11. Third Law of Exponents – Power of a Product - “To find a power of a product, find the power of each factor and multiply.

  12. Let’s try some . . . and show work!!!

  13. Let’s check . . .

  14. Classwork . . . • Textbook page 453, #27-61 (odds)

  15. Laws of Exponents

  16. Other Properties of Exponents Any single number or variable is always to the first power

  17. Basic Examples

  18. Basic Examples

  19. More Examples

  20. More Examples

  21. This powerpoint was kindly donated to www.worldofteaching.com http://www.worldofteaching.com is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.

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