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Roots Expressed as Exponents

 

Roots can be written as exponents by using the following two properties.

This ability is useful in algebra and calculus.

 

Property 1           

 

The exponent is a fraction whose numerator is 1 and whose denominator is the root.

 

          Examples

          

     

 

Property 2           



 

The exponent is a fraction whose numerator is the power and whose denominator is the root.

 

Practice

 



 



Solutions

 



 





One of the uses of these exponent-root properties is to simplify multipl roots. Using the properties and, gradually rewrite the multiple roots as an exponent then as a single root.

 

Practice

 





 

Solutions

 



 











 

Sumber

Labels: Mathematician

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