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