A and b are positive integers and a–b = 3. Evaluate the following:
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
1/27
1/27
125
Step-by-step explanation:
Given that, 
a - b = 3
9^(1/2b) /3^a = 3^(2/2b) /3^a
= 3^b/3^a
= 3^(b-a) 
= 3^(-3) 
= 27^(-1) 
= 1/27
27^(1/3b) /9^(1/2a) = 3^(3/3b) /3^(2/2a) 
= 3^b/3^a
= 3^(b-a) 
= 3^(-3) 
= 27^(-1) 
= 1/27
125^(1/3a) /25^(1/2b) = 5^(3/3a) /5^(2/2b) 
= 5^a/5^b
= 5^(a- b) 
= 5^3
= 125
 
                                
             
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