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Answer (1)
Jawaban:Tentukan hasil penyederhanaan dari soal-soal berikut: 1. 4c³ x 2c⁵ = (4 x 2) x (c³ x c⁵) = 8c^(3+5) = 8c⁸2. -5² x 2b⁵ = -25 x 2b⁵ = -50b⁵3. 2b² x 4³ x 3b⁵ = 2b² x 64 x 3b⁵ = (2 x 64 x 3) x (b² x b⁵) = 384b^(2+5) = 384b⁷4. 4d³ x 2d² : d⁴ = (4 x 2) x (d³ x d²) : d⁴ = 8d^(3+2) : d⁴ = 8d⁵ : d⁴ = 8d^(5-4) = 8d5. 18c⁵ : 9c³ x 3c⁴ = (18 : 9) x (c⁵ : c³) x 3c⁴ = 2c^(5-3) x 3c⁴ = 2c² x 3c⁴ = (2 x 3) x (c² x c⁴) = 6c^(2+4) = 6c⁶6. (-c⁷ : c²) : c² = -c^(7-2) : c² = -c⁵ : c² = -c^(5-2) = -c³7. 6d⁸ : (3d² x 2d³) = 6d⁸ : (3 x 2 x d² x d³) = 6d⁸ : 6d^(2+3) = 6d⁸ : 6d⁵ = (6:6) x (d⁸ : d⁵) = 1 x d^(8-5) = d³8. (-m⁵ : m²)⁴ x m⁷ = (-m^(5-2))⁴ x m⁷ = (-m³)⁴ x m⁷ = m^(3 x 4) x m⁷ = m¹² x m⁷ = m^(12+7) = m¹⁹9. (2m²n³)⁵ x (-m³n)² = 2⁵ x (m²)⁵ x (n³)⁵ x (-1)² x (m³)² x n² = 32m^(2 x 5)n^(3 x 5) x 1 x m^(3 x 2) x n² = 32m¹⁰n¹⁵ x m⁶n² = 32 x (m¹⁰ x m⁶) x (n¹⁵ x n²) = 32m^(10+6)n^(15+2) = 32m¹⁶n¹⁷10. (2a)^(-4) = 1 / (2a)⁴ = 1 / (2⁴ x a⁴) = 1 / (16a⁴) @Ara1412Jadi, hasil penyederhanaannya adalah: 1. 8c⁸2. -50b⁵3. 384b⁷4. 8d5. 6c⁶6. -c³7. d³8. m¹⁹9. 32m¹⁶n¹⁷10. 1/(16a⁴)Penjelasan dengan langkah-langkah:hasil penyederhanaan dari soal-soal berikut dengan pangkat positif: 11. (m + n)^(-2) = 1 / (m + n)²12. 6(a² + b²)⁰ = 6 * 1 = 613. 5 / p⁴14. 1 / (4z⁵)15. 1 / (m² + n²)16. 4m⁷n^(-4) x 2m^(-6)n^(-3) = (4 x 2) x (m⁷ x m^(-6)) x (n^(-4) x n^(-3)) = 8m^(7-6)n^(-4-3) = 8m¹n^(-7) = (8m) / n⁷17. (27p^(-7)) / (9p²) = (27/9) x (p^(-7) / p²) = 3p^(-7-2) = 3p^(-9) = 3 / p⁹18. (9m²n³p^(-7)) / (21m^(-1)n^(-2)p⁶) = (9/21) x (m² / m^(-1)) x (n³ / n^(-2)) x (p^(-7) / p⁶) = (3/7) x m^(2+1) x n^(3+2) x p^(-7-6) = (3/7)m³n⁵p^(-13) = (3m³n⁵) / (7p¹³)19. ((5g^(-2)) / h³)^(-2) = (5^(-2)g^(4)) / h^(-6) = (g⁴h⁶) / 5² = (g⁴h⁶) / 2520. ((3m²n) / p⁴)^(-2) : (p^(-3) / m⁶) = (3^(-2)m^(-4)n^(-2)) / p^(-8) : (p^(-3) / m⁶) = (p⁸) / (3²m⁴n²) : (p^(-3) / m⁶) = (p⁸) / (9m⁴n²) x (m⁶ / p^(-3)) = (p⁸m⁶) / (9m⁴n²p^(-3)) = (m^(6-4)p^(8+3)) / (9n²) = (m²p¹¹) / (9n²) @Ara1412Jadi, hasil penyederhanaannya adalah:11. 1 / (m + n)²12. 613. 5 / p⁴14. 1 / (4z⁵)15. 1 / (m² + n²)16. (8m) / n⁷17. 3 / p⁹18. (3m³n⁵) / (7p¹³)19. (g⁴h⁶) / 2520. (m²p¹¹) / (9n²)
