Laws of indices

Law of Indices

a m × a n = a m+n Example

3 3 × 3 2 = 3 3+2 = 3 5 =243
a m ÷ a n = a mn      or      a m a n = a mn      a0 Example

3 3 ÷ 3 2 = 3 32 = 3 1 =3
or

3 3 3 2 = 3 32 = 3 1 =3
( a m ) n = a mn Example

( 7 3 ) 4 = 7 3×4 = 3 12
(ab) n = a n b n Example

( 15 ) 3 = ( 5×3 ) 3 = 2 3 × 3 3
( a b ) n = a n b n      b0 Example

( 3 5 ) 4 = 3 4 5 4 = 81 625