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Basic properties of Exponents.
anam=an+m;an:am=anm,n>m,a0;anm=anm
Where n and \(m\) are integers.
In practice, several properties are often applied simultaneously.
Example:
Calculate54535756
 
Perform actions in the numerator:
  
1.545=5451=54+1=55 — applied property anam=an+m.
 
2. 553=553=515 — applied property anm=anm.
 
Perform the multiplication in the denominator:
  
3. 5756=57+6=513 — applied property anam=an+m.
  
Replace the fraction line with division:
  
4.515:513=51513=52 — applied property an:am=anm.
 
5.  52=25.
 
Answer: \(25\).