Tentukan hasil perkalian berikut ini! a. 3^(4) x 3^(-5) x

Hasil perkalian: a. 3^10, b. 2^16, c. 16/(r^2 s^2)

Pembahasan

Untuk menyelesaikan perkalian eksponen:
a. 3^(4) x 3^(-5) x 3^(7) x 9^(2) = 3^(4-5+7) x (3^2)^(2) = 3^6 x 3^4 = 3^(6+4) = 3^10
b. 2^(3) x 4^(2) x 8^(3) = 2^(3) x (2^2)^(2) x (2^3)^(3) = 2^3 x 2^4 x 2^9 = 2^(3+4+9) = 2^16
C. (8 r^(3) s^(-4))(2 r^(-5) s^(2)) = (8x2) x (r^3 x r^-5) x (s^-4 x s^2) = 16 x r^(3-5) x s^(-4+2) = 16 r^(-2) s^(-2) = 16 / (r^2 s^2)