temukan Jawaban no 2 dan 3

Jawaban:- Soal 2: Hitung hasil operasi bilangan berpangkat. a. a^(1/3) + b^(1/2) = 8^(1/3) + 25^(1/2) = 2 + 5 = 7 b. c^(-1) - 2b^(1/2) = (1/9)^(-1) - 2(25)^(1/2) = 9 - 2(5) = 9 - 10 = -1 c. 15a^(2/3) * b^(-3/2) * c^(1/2) = 15(8)^(2/3) * (25)^(-3/2) * (1/9)^(1/2) = 15(4) * (1/125) * (1/3) = 60/375 = 4/25 d. (3a^(1/3)bc) / (12a^(-2)bc^(-3)) = (3(8)^(1/3)(25)(1/9)) / (12(8)^(-2)(25)(1/9)^(-3)) = (3(2)(25)(1/9)) / (12(1/64)(25)(729)) = (150/9) / (12(25)(729)/64) = (150/9) * (64 / (12(25)(729))) = (150 * 64) / (9 * 12 * 25 * 729) = 9600 / 1968300 = 32/6561 - Soal 3: Sederhanakan notasi bilangan berpangkat. a. ((3p^2q) / (q^(-1)))^(-1) = (3p^2q^2)^(-1) = 1 / (3p^2q^2) b. (2x^3y^(-2)) / (4x^2y) = (2x^3) / (4x^2y^3) = x / (2y^3) c. ((m^4n^6)^(1/2) * m^3) / (m^(-2)n^2) = (m^2n^3 * m^3) / (m^(-2)n^2) = (m^5n^3) / (m^(-2)n^2) = m^7n d. ((a^2) / (2b))^3 * 4ab^(-1) = (a^6) / (8b^3) * (4a / b) = (4a^7) / (8b^4) = a^7 / (2b^4) e. ((2(y^3)^(1/2)) / (x^(-1)y))^6 : 8/(x^2) = ((2y^(3/2)) / (x^(-1)y))^6 * (x^2)/8 = ((2xy^(1/2)) / 1)^6 * (x^2)/8 = 64x^6y^3 * (x^2)/8 = 8x^8y^3 - Soal 4: Hitung regangan dari kawat. Diketahui: - Diameter kawat (d) = 1,4 mm = 0,0014 m- Panjang awal kawat (l0) = 60 cm = 0,6 m- Pertambahan panjang kawat (Δl) = 0,3 mm = 0,0003 mRegangan (e) dirumuskan sebagai:e = Δl / l0 = 0,0003 / 0,6 = 0,0005

Answered by ara1412 | 2025-08-14