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1. DELHI PUBLIC SCHOOL, BOPAL, AHMEDABAD
MATHS ASSIGNMENT MATHEMATICS
CLASS VIII EXPONENTS AND POWERS
Q-1 Evaluate
(a) 8-2 (b) (-4)-2 (c)
3
1
5

 
 
 
(d) (-3)2 (e)
2
3
4

 
 
 
Q-2 Express the following as the power of a number with positive exponent.
(a)
5
1
3




(b)
6
 3
3


4

(c) 8 9 7 7    (d)
5
7 1
( 4)
4




Q-3 Simplify (a) 1 1 1 1 (2 5 ) 4      (b)
1
1 1 2
(4 8 )
3

   
  
 
(c)
 3  3  3
 1   1    1

      
 3   2    4

Q-4 Find m such that : 2 1 2 3 5 125 3125 m   
Q-5 Solve : 2 3 3 (81) 729 m m  
Q-6 Write the following numbers in standard form.
(a) 23800000000 (b) 135.6754 (c) 0.0000000984
Q-7 Write the following numbers in usual form.
(a) 6 2.5610 (b) 7 7.789 10  (c) 12 5.12 10 
Q-8 (a) Simplify : 1 1 1 1 (2 3 ) (2 3 )        (b)
1
2
2
1
4

           
     
Q-9 Simplify :
2
1 4
(6)
3

  
  
 
Q-10 Simplify the expression using the laws of exponents :
2 7
2401 9 11
 

5
49 11
Q-11 By what number should (-12)-1 be divided to obtain
1
3
4

  
 
?
 
Q-12By what number should
1
1
2

 
 
 
be multiplied to get
1
4
7

  
 
?
 
Q-13 If
2 5
5 3
3 5
t

   
    
   
, find 2 t  .
Q-14 Simplify
 2  3


2
 2   3
  1

     
 
 3   2
 
 4

Q-15 Find x if,
x x
2 1 5 2
8 8 3
3 3 8
     
      
     