Seun Adeyemo - FURTHER MATHEMATICS: Second Edition
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DEDICATED TO MY MUM, LATE DEACONESS FELICIA BOLANLE ADEYEMO
Contents
, the product 
, and in general, 
is called the n th power of the number a. is called the base and 
is called the Index (plural Indices). Theorem: Let 
be positive integers 
- If
and 
then 
- If
is a non-zero number, then 
, by definition 
, we may cancel out 
m times in the numerator and denominator, having 
, by definition. 
(theorem 1) 
, by definition 
Corollary (to the theorem) 
, let 
. Then 
But 
Which is an n th root of 
. Note:
- By substituting non-zero values for
and 
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