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In Matematika / Sekolah Menengah Atas | 2025-08-13

pertanyaan ini caranya?​

Asked by cahayaavny

Answer (1)

Jawaban:1. Sederhanakan Bentuk Pangkat: - a. (a⁻⁵b⁸c⁻⁹) / (a⁻³b⁶c⁻²)- = a⁻⁵⁻⁽⁻³⁾ b⁸⁻⁶ c⁻⁹⁻⁽⁻²⁾- = a⁻² b² c⁻⁷- = b² / (a²c⁷)- d. ((a⁻²b⁶c⁻²) / (ab⁻¹c⁻¹))⁻⁴- = (a⁻²⁻¹ b⁶⁻⁽⁻¹⁾ c⁻²⁻⁽⁻¹⁾)⁻⁴- = (a⁻³ b⁷ c⁻¹)⁻⁴- = a¹² b⁻²⁸ c⁴- = (a¹²c⁴) / b²⁸- b. (a⁻²b⁻³c) / (ab⁻⁴c⁻³)- = a⁻²⁻¹ b⁻³⁻⁽⁻⁴⁾ c¹⁻⁽⁻³⁾- = a⁻³ b¹ c⁴- = (bc⁴) / a³- e. (3a⁻⁵b⁶)³ (2a³b⁻²)²- = (27a⁻¹⁵b¹⁸) (4a⁶b⁻⁴)- = 108 a⁻¹⁵⁺⁶ b¹⁸⁻⁴- = 108 a⁻⁹ b¹⁴- = (108b¹⁴) / a⁹- c. ((p⁻⁵q⁸r³) / (p⁻²q⁶r⁻²))²- = (p⁻⁵⁻⁽⁻²⁾ q⁸⁻⁶ r³⁻⁽⁻²⁾)²- = (p⁻³ q² r⁵)²- = p⁻⁶ q⁴ r¹⁰- = (q⁴r¹⁰) / p⁶- f. Jika x = p⁻²q⁻³ dan y = p⁻³q⁻¹, maka (x/y)²- (x/y)² = ((p⁻²q⁻³) / (p⁻³q⁻¹))²- = (p⁻²⁻⁽⁻³⁾ q⁻³⁻⁽⁻¹⁾)²- = (p¹ q⁻²)²- = p² q⁻⁴- = p² / q⁴ 2. Hitunglah Nilai dari: - a. (27)^(1/3) + (16)^(1/2) - (81)^(1/4)- = ∛27 + √16 - ⁴√81- = 3 + 4 - 3- = 4- b. (64)^(2/3) - (125)^(1/3) + (243)^(1/5)- = (∛64)² - ∛125 + ⁵√243- = 4² - 5 + 3- = 16 - 5 + 3- = 14 Ringkasan Jawaban: - 1. a. b² / (a²c⁷)- b. (bc⁴) / a³- c. (q⁴r¹⁰) / p⁶- d. (a¹²c⁴) / b²⁸- e. (108b¹⁴) / a⁹- f. p² / q⁴- 2. a. 4- b. 14

Answered by ara1412 | 2025-08-13