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# 1.2a Exponents PowerPoint PPT Presentation

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

1.2a Exponents

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### 1.2a Exponents

1

Laws of Exponents

2

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### 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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### 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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### 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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• Notation:

• Note:

• Properties

• if is a real number

• ,

• if a≥0

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