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1.2a Exponents. 1. Laws of Exponents. 2. Laws of Radicals. Exponents. Notation a n = a*a*a*a….*a, n times a 4 = a*a*a*a a 9 = a*a*a*a*a*a*a*a*a 3 4 = 3*3*3*3 = 81 ca n = c*a*a*a…*a, n times 13a 3 , where a =2 =13*2*2*2 =13*8 =104. Exponents. Laws of Exponents

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1 2a exponents
1.2a Exponents

1

Laws of Exponents

2

Laws of Radicals

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exponents
Exponents
  • Notation
    • an = a*a*a*a….*a, n times
      • a4 = a*a*a*a
      • a9 = a*a*a*a*a*a*a*a*a
      • 34 = 3*3*3*3 = 81
    • can = c*a*a*a…*a, n times
    • 13a3, where a =2

=13*2*2*2

=13*8

=104

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exponents1
Exponents
  • Laws of Exponents
    • anam = an+m
      • 2329 = 23+9 = 212 = 4096
      • Note: the base number (a) must be the same
    • (am)n = amn
      • (23)4 = 23*4 = 212 = 4096
    • (ab)n = anbn
    • (a/b)n = an/bn
      • (2/5)3 = 23/53 = 8/125

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exponents2
Exponents
  • Laws of Exponents (Cont.)
    • am/an = am-m
      • 25/23 = 25-3 = 22 = 4
    • a-m = 1/am
      • x-3 = 1/x3
    • a-m/b-n = bn/am
      • X-5/y-4 = y4/x5

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radicals
Radicals
  • Notation:
    • Note:
  • Properties
    • if is a real number
      • ,
    • if a≥0

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radicals1
Radicals
  • Laws of Radicals

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practice problems
Practice Problems
  • Page 29

Problems1-32

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