Laws that define how to deal with exponents in algebra.
Since a21×a21=a1=a it follows that a21=2a.
These may sometimes require to be simplified:
Since 12 goes into 31 two times, and the remainder is 7:
And since the former factor simplifies further into x2, it follows that
So a0=an÷an, also, since every number divided by itself results in 1, it follows that a0=1.
a−1 is equal to the reciprocal of a
Careful with negative numbers: