Self-Test Questions : Lesson 2
         
        
            The Arithmetic of Powers
         
        
            Multiplication by addition, and division by subtraction
         
    
    
         
    
 
        
            
                1.
            
            
                
If we multiplied 42   by 41  , of what number would the product be a power?
 
             
         
            
     
    
        
            
                2.
            
            
                
What is the exponent of the product when two numbers which are powers of the same base are multiplied?
 
             
         
            
                
            
     
    
        
            
                3.
            
            
                
What power of 3 is ( 32 ) ( 33 ) 
 
             
         
            
                
            
     
    
        
            
                4.
            
            
                
The sum of the exponents is the total number of times the base is used as a .....?..... 
 
             
         
            
                
            
     
    
        
            
                5.
            
            
                
Is it true that ( 34 ) ( 32 )  = 38 
 
             
         
            
                
            
     
    
        
            
                6.
            
            
                
Is it true that ( 65 ) ( 64 )  = 69 
 
             
         
            
                
            
     
    
        
            
                7.
            
            
                
If you multiply b 5 b 2 
 
             
         
            
                
            
     
    
        
            
                8.
            
            
                
What is the product of b m b n 
 
             
         
            
                
            
     
    
        
            
                9.
            
            
                
In
6 
 
 
5)30 , 
 
 
which is the divisor, the quotient, the dividend?
 
             
         
            
                
            
     
    
        
            
                10.
            
            
                
In the expression ( 45 )/( 9 ) 
 
             
         
            
                
            
     
    
        
            
                11.
            
            
                
What is the exponent of the quotient when one power of a base is divided by another power of the same base?
 
             
         
            
                
            
     
    
        
            
                12.
            
            
                
What is another way of saying ( b m )/( b n ) 
 
             
         
            
                
            
     
    
        
            
                13.
            
            
                
What is the quotient of b 5 b 2 
 
             
         
            
                
            
     
    
        
            
                14.
            
            
                
What is b  × b  × b  × b b  × b 
 
             
         
            
                
            
     
    
        
            
                15.
            
            
                
Using exponents, divide 32 by 8.
 
             
         
            
                
            
     
    
        
            
                16.
            
            
                
Write ( 36  )/( 33  ) 
 
             
         
            
                
            
     
    
        
            
                17.
            
            
                
If 84   is divided by 84  , what power of 8 results?
 
             
         
            
                
            
     
    
        
            
                18.
            
            
                
Show how 33   is divided by 33   in two ways.
 
             
         
            
                
            
     
    
        
            
                21.
            
            
                
Is this statement true of false? 60  = 40  = 80  = 1 
 
             
         
            
                
            
     
    
        
            
                22.
            
            
                
What is the result when you divide 53   by 50  ?
 
             
         
            
                
            
     
    
            
                
Go now to Lesson 3 on Page 92. 
 
             
            
                
            
         
        
    
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