Exercise 1.5 Class 9 Maths | Exercise 1.5 Class 9

#mathsclass9 #rajansir Exercise 1.5 Class 9 Maths Exercise 1.5 Class 9 Maths by @rajansir07 for Online classes Call- 9811757843 Class 9 Chapter 1 – Number Systems Exercise 1.5 class 9 Chapter 1 – Number Systems Exercise 1.5 1. Find: (i)641/2 Solution: 641/2 = (8×8)1/2 = (82)½ = 81 [⸪2×1/2 = 2/2 =1] = 8 (ii)321/5 Solution: 321/5 = (25)1/5 = (25)⅕ = 21 [⸪5×1/5 = 1] = 2 (iii)1251/3 Solution: (125)1/3 = (5×5×5)1/3 = (53)⅓ = 51 (3×1/3 = 3/3 = 1) = 5 2. Find: (i) 93/2 Solution: 93/2 = (3×3)3/2 = (32)3/2 = 33 [⸪2×3/2 = 3] =27 (ii) 322/5 Solution: 322/5 = (2×2×2×2×2)2/5 = (25)2⁄5 = 22 [⸪5×2/5= 2] = 4 (iii)163/4 Solution: 163/4 = (2×2×2×2)3/4 = (24)3⁄4 = 23 [⸪4×3/4 = 3] = 8 (iv) 125-1/3 125-1/3 = (5×5×5)-1/3 = (53)-1⁄3 = 5-1 [⸪3×-1/3 = -1] = 1/5 3. Simplify: (i) 22/3×21/5 Solution: 22/3×21/5 = 2(2/3)+(1/5) [⸪Since, am×an=am+n____ Laws of exponents] = 213/15 [⸪2/3 + 1/5 = (2×5+3×1)/(3×5) = 13/15] (ii) (1/33)7 Solution: (1/33)7 = (3-3)7 [⸪Since,(am)n = am x n____ Laws of exponents] = 3-21 (iii) 111/2/111/4 Solution: 111/2/111/4 = 11(1/2)-(1/4) = 111/4 [⸪(1/2) – (1/4) = (1×4-2×1)/(2×4) = 4-2)/8 = 2/8 = ¼ ] (iv) 71/2×81/2 Solution: 71/2×81/2 = (7×8)1/2 [⸪Since, (am×bm = (a×b)m ____ Laws of exponents] = 561/2