hasil dari (2/3)^-3 × (4/3)^4 adalah

Jawaban: 32/3 Halo Farah. Kakak bantu jawab ya Perlu diingat ada beberapa sifat bilangan pangkat untuk menyelesaikan soal tersebut: (i) a^-b = 1/(a^b) (ii) (a/b)^c = (a^c)/(b^c) (iii) (a^b)^c = a^(b×c) (iv) (a^m)/(a^n) = a^(m-n) (2/3)^-3 × (4/3)^4 = 1/[(2/3)^3] × (4^4)/(3^4) = 1/[(2^3)/(3^3)] × (2^2)^4/(3^4) = 1/[(2^3)/(3^3)] × (2^8)/(3^4) = 1 × [(3^3)/(2^3)] × (2^8)/(3^4) = (3^3)/(2^3) × (2^8)/(3^4) = [(3^3) × (2^8)] / [(3^4) × (2^3)] = 3^(3-4) × 2^(8-3) = 3^(-1) × 2^5 = 1/3 × (2^5) = (2^5)/3 = 32/3 jadi, hasil dari (2/3)^-3 × (4/3)^4 adalah 32/3