P. 504 – Key Concepts
Zero & Negative  Exponents   Section 8.3    P. 503
Powers of TensExponent,              2    1     0    -1   -2   -3   n             102   101   100 10-1 10-2 10-3   10n    ...
Negative ExponentsExponent,             3    2    1   0   -1   -2   -3   n Power,             8    4    2   2n Power,     ...
Exponent Rules• Let ‘a ’ be a nonzero number and let ‘n’ be a  positive integer,  A nonzero number to the zero power is 1:...
2   12         2        2    43    y4    10
• In Algebra, expressions need to be rewritten  using only POSITIVE exponents.                  2       3           2x y  ...
1  24  33  24
2            2     2(5a)                   5 a       2       3(4n )   3               24 x y
2 2 3          1  44  5
• Assignment: P. 506 3-26• Copy the problem, then simplify. There  can be NO NEGATIVE exponents in your  final answer.
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8 3 zero & negative - day 1

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8 3 zero & negative - day 1

  1. 1. P. 504 – Key Concepts
  2. 2. Zero & Negative Exponents Section 8.3 P. 503
  3. 3. Powers of TensExponent, 2 1 0 -1 -2 -3 n 102 101 100 10-1 10-2 10-3 10n 100
  4. 4. Negative ExponentsExponent, 3 2 1 0 -1 -2 -3 n Power, 8 4 2 2n Power, 27 9 3n Power, 64 16 4n
  5. 5. Exponent Rules• Let ‘a ’ be a nonzero number and let ‘n’ be a positive integer, A nonzero number to the zero power is 1: a0 = 1 (a = 0) 20 = 1 (-2)0 = 1 a-n is the reciprocal of an: therefore a-n = 1 / an , (a = 0 ) so 2-3 = 1/ 23 an = 1/a-n 23 = 1/ 2-3
  6. 6. 2 12 2 2 43 y4 10
  7. 7. • In Algebra, expressions need to be rewritten using only POSITIVE exponents. 2 3 2x y 3 4 5g h 3 3 4 4
  8. 8. 1 24 33 24
  9. 9. 2 2 2(5a) 5 a 2 3(4n ) 3 24 x y
  10. 10. 2 2 3 1 44 5
  11. 11. • Assignment: P. 506 3-26• Copy the problem, then simplify. There can be NO NEGATIVE exponents in your final answer.

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