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1.2a Exponents

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1

Laws of Exponents

2

Laws of Radicals

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- 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

- an = a*a*a*a….*a, n times

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- 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

- anam = an+m

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- 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

- am/an = am-m

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- Notation:
- Note:

- Properties
- if is a real number
- ,

- if a≥0

- if is a real number

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- Laws of Radicals

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- Page 29
Problems1-32

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