Exponents and Powers - Solutions 1

CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 12
Exponents and Powers (Ex. 12.1)
1.  Evaluate:
(i)  (ii)  (iii) 
Ans. (i)   =       
= 
(ii)     
  
= 
(iii)   =    
 
 =  = 32
2.  Simplify and express the result in power notation with positive exponent:
(i)    
(ii)  
(iii) 
(iv)   
(v) 
 Ans. (i)   =   
=      
(ii)      
=     
(iii)    
=      
=   
=   
(iv)       
=  =  =  
=   
(v)     
=   =    
3.  Find the value of:
(i)    
 (ii)     
(iii) 
(iv)   
(v) 
Ans.
 (i)   =          
=  =     
=      
(ii)       
   =  =    
   =  
   =     
(iii) 
 =    
=  = 4 + 9 + 16 = 29
(iv)       
=  
(v)    
=      
= 
4.  Evaluate:
(i)    (ii) 
Ans. (i)       
=      
= 
(ii)    
= 
5.  Find the value of  for which 
Ans.     
      
  
Comparing exponents both sides, we get
  
  
  
6.  Evaluate:
(i)  (ii) 
Ans.
(i)    
= 
(ii)    
=      
=  =    
= 
7.  Simplify:
(i)     
(ii) 
 Ans. (i)   
=  = 
(ii)     
                                                                     
=  
=    
=  = 
= 1  1  3125  
= 3125