Ex 1.6,2 - Chapter 1 Class 9 Number Systems

Transcript

Ex1.6, 2 Find: (i) 9^(3/2) 〖 9〗^(3/2) = (3×3)^(3/2) = (32)^(3/2) = 〖 3〗^(2 × 3/2) = 〖 3〗^3 = 3×3×3 = 27 Ex1.6, 2 Find: (ii) 〖32〗^(2/5) 〖32〗^(2/5) = (2×2×2×2×2)^(2/5) = 〖 (25)〗^(2/5) = 〖 2〗^(5 × 2/5) = 〖 2〗^2 = 4 Ex1.6, 2 Find: (iii) 〖16〗^(3/4) 〖16〗^(3/4) = (2×2×2×2)^(3/4) = 〖 (2^4)〗^(3/4) = 〖 2〗^(4 × 3/4) = 〖 2〗^3 = 2 ×2×2 = 8 Ex1.6, 2 Find: (iv) 〖125〗^( (−1)/3) 〖125〗^((−1)/3) = 1/〖125〗^(1/3) = 1/(5×5×5)^(1/3) = 1/〖 (53)〗^(1/3) = 1/〖 5〗^(3 × 1/3) = 1/〖 5〗^(1 ) = 1/〖 5〗^