Theory:

Consider the numbers with some powers like am,bn,...
 
Here \(a\) and \(b\) the base and \(m\) and \(n\) are its respective exponents.
 
The law of exponents are as follows:
 
(i)aman=am+n(ii)amn=amn(iii)aman=(a)mn,wherem>n.(iv)ambm=(ab)m
Example:
1. Consider 3536,
 
Here the base(3) is the same but the exponents \(5\) and \(-6\) are different.
 
Comparing the property aman=am+n with the expression,
 
3536=356=31=13.
 
2. Let us take another expression 935.
 
Here the base (9) is the same, but the exponents \(3\) and \(5\) are different.
 
Comparing the property amn=amn with the expression,
 
935=93×5=915.
 
3. Let the next expression be 2743.
 
Here the base values are \( 2\) and \(4 = 2²\), and the exponents are \(7\) and \(3\).
 
2743=27223
 
Applying the property amn=amn,
 
27223=2726
 
Now applying aman=(a)mn,wherem>n.
 
2726=276=21=2