Algebra 6 Point 4
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Transcript

  • 1. 6.4 Negative Exponents
    Objective:
    • To simplify expressions with integral exponents
    • 2. To evaluate monomials with integral exponents
    Frameworks: 10.P.1, 10.P.7
  • 3. What is 50?
    53 = 53-3 = 50 = 1
    53
    A zero exponent evaluates to 1
  • 4. Zero Exponent
    For each nonzero real number b,
    b0 = 1 (00 is undefined.)
  • 5. Try some: (x ≠ 0)
    4x0
    (5x)0
    xy0
    (7x6)0
  • 6. What about a2/a5?
    a * a
    a * a * a * a * a
    = 1/(a * a * a)
    = a-3
    1 = 1
    x-3 = 1
    x3
    = x3
  • 7. Negative Exponent
    For each nonzero real number b and for each positive integer n,
    b-n= 1 and 1 = bn
    bn b-n
  • 8. Try some:
    35* 3-8
    (ab-7)(-b-3)
    Evaluate 3x-4 for x = -2
  • 9. Simplify using only positive exponents:
    (x-8y-5)(x10y-2)
  • 10. Simplify using only positive exponents:
    3x-5
    7y-2
  • 11. Turn to page 212
    Do 1-14