TOPICS
Exercise - 1.6

Question-1 :-  Find : (i) 641/2  ,  (ii) 321/5  ,  (iii) 1251/3

Solution :-
(i)   641/2
     =(2)6 x 1/2
     =23
     =8

(ii)  321/5
     =(2)5 x 1/5
     =21
     =2

(iii) 1251/3
     =(5)3 x 1/3
     =51
     =5
    

Question-2 :-  Find : (i) 93/2  ,  (ii) 322/5  ,  (iii) 163/4   ,  (iv) 125-1/3

Solution :-
(i)   93/2
     =(3)2 x 3/2
     =33
     =27

(ii)  322/5
     =(2)5 x 2/5
     =22
     =4

(iii) 163/4
     =(2)4 x 3/4
     =23
     =8

(iv)  125-1/3
     =(5)3 x (-1/3)
     =5-1
     =1/5
    

Question-3 :-  Simplify : (i) 22/3 . 21/5  ,  (ii) (1/33)7  ,  (iii) 111/2 ÷ 111/4  ,  (iv) 71/2 . 81/2

Solution :-
(i)   22/3. 21/5    
    = 2(2/3 + 1/5)    
    = 2(10+3)/15  
    = 213/15

(ii) (1/33)7
    = 1/(3)21
      
(iii) 111/2 ÷ 111/4
    = 11(1/2 - 1/4)
    = 11(2-1)/4
    = 111/4

(iv)  71/2 . 81/2
    = (7 x 8)1/2
    = 561/2
    
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