Question

1. Hitunglah:
a). 3^4 x 3^2 / 3^5
b). 7^3 x 5^-3 / 7^3 x 5^-4
c). (2^3 x 3^4 / 2^5 x 3)^2
d). (2^3 x 3^-1 / 3^3)^-2
e). (5² x 3³ / 5^4 x 3²)³
2. Sederhanakanlah !
a). M^4n^-1 x n^-5
b). d^7f^-2 x d^3f^4
c). p^5q^2 x p^-4q^5
d). (m^3)^-2 n^3 x m^4 (n^-1)^2
e). (a^2b^3)^2 x (a^4b^-1)^-3

Answer 1

1. a) 3^4 x 3^2 / 3^5 = 9^6 / 3^5 = 3^1 = 3

b). 7^3 x 5^-3 / 7^3 x 5^-4 = 35^0 / 35^-1 = 1^1= 1

c). (2^3 x 3^4 / 2^5 x 3)^2= (6^7 / 6^6)^2 = 1^2 = 1

d). (2^3 x 3^-1 / 3^3)^-2 = (6^2 / 3^3)^-2 = (2^-1)^-2 = 2^1 = 2

e). (5² x 3³ / 5^4 x 3²)³ = (15^5 / 15^6)^3 = (1^-1)^3 = 1^2 = 1