Question

Answer 1

a) \(\dfrac{2^9.3^{11}}{4^5.9^6}=\dfrac{2^9.3^{11}}{2^{10}.3^{12}}=\dfrac{1}{2.3}=\dfrac{1}{6}\)

b) \(\dfrac{2^9.\left(0,5\right)^5.3^7}{4^4.\left(0,5\right)^4.9^4}=\dfrac{2^9.\left(0,5\right)^5.3^7}{2^8.\left(0,5\right)^4.3^8}=\dfrac{2.0,5}{3}=\dfrac{1}{3}\)

c) \(\dfrac{4^5.9^6.25^7.30^{15}}{8^8.27^9.125^{10}}=\dfrac{2^{10}.3^{12}.5^{14}.30^{15}}{2^{24}.3^{27}.5^{30}}=\dfrac{30^{15}}{2^{14}.3^{15}.5^{16}}=\dfrac{2^{15}.3^{15}.5^{15}}{2^{14}.3^{15}.5^{16}}=\dfrac{2}{5}\)

 

Answer 2

29.(0,5)5.3744.(0,5)4.94=29.(0,5)5.3728.(0,5)4.38=2.0,53=1