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8.2 Laws of Exponents: Powers and Products

8.2 Laws of Exponents: Powers and Products. Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential forms. To raise a power to a power, multiply the exponents. Ex. 1.

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8.2 Laws of Exponents: Powers and Products

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  1. 8.2 Laws of Exponents: Powers and Products Objective: Find the power of a power. Find the power of a product. Standard Addressed: 2.1.8.E: Simplify and expand algebraic expressions using exponential forms.

  2. To raise a power to a power, multiply the exponents.

  3. Ex. 1

  4. You can simplify expressions by using the definition of exponents.

  5. Ex. 2a.

  6. Ex. 2b. Simplify (c2d2)4 by using the definition of exponents. • c8d8

  7. The Power-of-a-Product Property can be extended to include all factors inside the parentheses.For example: (xyz)n = xnynzn

  8. Ex. 3

  9. Ex. 4

  10. Ex. 4 c and d. 4e12f3 • C. • D. 16p20r12

  11. Ex. 5

  12. Powers of -1

  13. Ex. 6

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