RULES OF INDICES - DIVISION

RULE OF INDICES (PETUA INDEKS)

SAME BASE (ASAS SAMA)

aⁿ ÷ a^m = a^{n – m}

Example : Simplify the following

(Permudahkan yang berikut)

(a)        m⁵ ÷ m³          

Solution:

m⁵ ÷ m³   

= m^{5 – 3}  

= m²

(b)        4r⁷ ÷ 2r           

Solution:

4r⁷ ÷ 2r 

= (4 ÷ 2)r^{7 – 1}  

= 2r⁶

(c)         – 4w⁵ ÷ (– 4 w⁴)   

Solution: 

– 4w⁵ ÷ (– 4 w⁴)

   = (– 4) ÷ (– 4) w^{5 – 4}

   = w