Class 9 - Mathematics
Number System - Exercise 1.6
Top Block 1
Exercise 1.6
Question : 1:Find: (i) 641/2 (ii) 321/5 (iii) 1251/3
Answer :
(i) 641/2 = (82)1/2 = 82 * 1/2 = 81 = 8
(ii) 321/5 = (25)1/5 = 25 * 1/5 = 21 = 2
(iii) 1251/3 = (53)1/3 = 53 * 1/3 = 51 = 5
Question : 2:Find: (i) 93/2 (ii) 322/5 (iii) 163/4 (iv) 125-1/3
Answer :
(i) 93/2 = (32)3/2 = 32 * 3/2 = 33 = 27
(ii) 322/5 = (25)2/5 = 25 * 2/5 = 22 = 4
(iii) 163/4 = (24)3/4 = 24 * 3/4 = 23 = 8
(iv) 125-1/3 = (53)-1/3 = 53 * (-1/3) = 5-1 = 1/5
Mddle block 1
Question : 3:Simplify: (i) 22/3 * 21/5 (ii) (1/33)7 (iii) 111/2/111/4 (iv) 71/2 * 81/2
Answer :
(i) 22/3 * 21/5 = 2(2/3 + 1/5) = 2(10 + 3)/15 = 213/15
(ii) (1/33)7 = (3-3)7 = 3-3*7 = 3-21
(iii) 111/2/111/4 = 111/2 * 11-1/4 = 111/2 – 1/4 = 11(2 – 1)/4 = 111/4
(iv) 71/2 * 81/2 = (7 * 8)1/2 = 561/2
