buatlah contoh dari masing masing soal tersebut
Answer (1)
Jawaban:Tentu, berikut adalah contoh soal dan penyelesaiannya untuk setiap rumus: Rumus 1: (ab)^m = a^m * b^m - Soal: Sederhanakan (2x)^3- Penyelesaian:- (2x)^3 = 2^3 * x^3- = 8x^3 Rumus 2: (a/b)^m = a^m / b^m - Soal: Sederhanakan (3/y)^2- Penyelesaian:- (3/y)^2 = 3^2 / y^2- = 9 / y^2 Rumus 3: a^(m/n) * a^(p/n) = a^((m+p)/n) - Soal: Sederhanakan 4^(1/2) * 4^(3/2)- Penyelesaian:- 4^(1/2) * 4^(3/2) = 4^((1/2 + 3/2))- = 4^(4/2)- = 4^2- = 16 Rumus 4: a^(m/n) / a^(p/q) = a^((mq-np)/nq) - Soal: Sederhanakan 9^(3/4) / 9^(1/2)- Penyelesaian:- 9^(3/4) / 9^(1/2) = 9^((32 - 14) / (4*2))- = 9^((6-4)/8)- = 9^(2/8)- = 9^(1/4)- = (3^2)^(1/4)- = 3^(2/4)- = 3^(1/2)- = √3 Soal Campuran - Soal: Sederhanakan (4x^2)^(1/2) * (8x^3)^(1/3)- Penyelesaian:- (4x^2)^(1/2) * (8x^3)^(1/3) = (4^(1/2) * (x^2)^(1/2)) * (8^(1/3) * (x^3)^(1/3))- = (2 * x) * (2 * x)- = 4x^2
