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5.2 More with Exponents!!!

5.2 More with Exponents!!!. Goals: (1) to find a power of a power (2) to find a power of a product or quotient. Review: True or false? 3x -3 = (3x) -3. Simplify: (3 2 ) 4. (3 • 3) (3 • 3) (3 • 3) (3 • 3). = 3 8.

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5.2 More with Exponents!!!

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  1. 5.2 More with Exponents!!! • Goals: • (1) to find a power of a power • (2) to find a power of a product or quotient

  2. Review: True or false? 3x-3 = (3x)-3

  3. Simplify: (32)4 (3 • 3) (3 • 3) (3 • 3) (3 • 3) = 38 To simplify a number with an exponent that is being raised to another exponent, multiply the two exponents. Raising a Power to a Power: (am)n = amn

  4. Simplify: (y2)5 (y2) (y2) (y2) (y2) (y2) = y2•5 = y10 To simplify a number with an exponent that is being raised to another exponent, multiply the two exponents. (am)n = amn

  5. Simplify: (n4)4 = n16 = n4•4

  6. Simplify: (2x4)3 (2x4) (2x4) (2x4) 2 • x4• 2 • x4 • 2 • x4) 2 • 2 • 2 • x4 • x4 • x4) 23• (x4)3 8 • x12

  7. Raising a product to a power:(a • b)n = an• bn (4x)2 = 42• x2 (2y3)4 = 24• (y3)4

  8. (2a3)3 8a9

  9. (a2b3)4 a8 b12

  10. (3ab5)2 9a2 b10

  11. Raising a Quotient to a power:

  12. Simplify:

  13. Simplify:

  14. Simplify:

  15. Assignment:page 2122-62 even

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