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Maths Exercices

Exponents with fractional exponents

When an exponent is expressed as a fraction, the numerator tells you the power the number is raised to, and the denominator tells you the root you take. The order in which you perform these operations does not matter.


 

Rules for working with fractional exponents
  1. Identify the power the number is raised to; identify the root you will find.
  2. Raise the number to the identified power.
  3. Take the identified root of the answer obtained.

Step 1 Identify the power the number is raised to; identify the root you will find.  
 


 
Step 2 Raise the number to the identified power  
 

Raise 7 to the 4th power.
74=7·7·7·7=2401

 
Step 3 Take the identified root of the answer obtained.