indices and surds - notes milenge web viewprinciple of indices. indices rule 1. indices rule 2....
TRANSCRIPT
Principle of Indices
Indices Rule 1
Indices Rule 2
a2×a3¿a×a×a×a×a¿a5
¿a2+3am×an=am+n
a5÷a3
¿a×a×a×a×aa×a×a
¿a×a¿a2
¿a5−3
am÷an=am−n
Indices Rule 3
( )
Indices Rule 4
Indices Rule 5
(a5 )3
¿a5×a5×a5
¿a5+5+5
¿a15
¿a5×3
(am)n=amnam×an=am+n
a3×b3¿a×a×a×b×b×b¿( a×b )(a×b )(a×b )¿( a×b )3
am×bm=(ab )m
a3÷b3
¿a×a×ab×b×b
¿( ab
)( ab
)( ab
)
¿( ab
)3
am÷bm=(a÷b )m
Indices Rule 6, 7
Indices Rule 8
Irrational Number
Number that cannot be expressed as a fraction of two integers
Surd Rules
Example 1:
Simplify the following surds
1√2
√2 π√6
Rationalization of the Denominator
Process of removing a surd from the denominator
Example 2: 1√2
