Question

Answer 1

(2²⁰.3²⁰ - 2²⁰.3¹⁹)/(2¹⁹.3²⁰)

= 2²⁰.3¹⁹.(3 - 1)/(2¹⁹.3²⁰)

= 2²⁰.3¹⁹.2/(2¹⁹.3²⁰)

= 2²¹.3¹⁹/(2¹⁹.3²⁰)

= 2²/3

= 4/3

Answer 2

\(\dfrac{2^{20}\cdot3^{20}-2^{20}\cdot3^{19}}{2^{19}\cdot3^{20}}\\ =\dfrac{2^{20}\cdot3^{19}\left(3-1\right)}{2^{19}\cdot3^{20}}\\ =\dfrac{2\cdot2}{3}\\ =\dfrac{4}{3}\)