2^10.9^41.25^23/3^50.15^35.10^9 Ghi từng bước giải cho mình nha Cám ơn!!!!

0 bình luận về “2^10.9^41.25^23/3^50.15^35.10^9 Ghi từng bước giải cho mình nha Cám ơn!!!!”

1. Đáp án:

   $\dfrac{2^{10}.9^{41}.25^{23}}{3^{50}.15^{35}.10^9}$$=\dfrac{50}{27}$

   Giải thích các bước giải:

   $\dfrac{2^{10}.9^{41}.25^{23}}{3^{50}.15^{35}.10^9}$

   $=\dfrac{2^{10}.(3^2)^{41}.(5^2)^{23}}{3^{50}.(3.5)^{35}.(2.5)^9}$

   $=\dfrac{2^{10}.3^{41.2}.5^{23.2}}{3^{50}.3^{35}.5^{35}.2^9.5^9}$

   $=\dfrac{2^{10}.3^{82}.5^{46}}{3^{50+35}.5^{35+9}.2^9}$

   $=\dfrac{2^{10}.3^{82}.5^{46}}{3^{85}.5^{44}.2^9}$

   $=\dfrac{2^{10-9}.5^{46-44}}{3^{85-82}}$

   $=\dfrac{2^{1}.5^{2}}{3^{3}}$

   $=\dfrac{2.25}{27}$

   $=\dfrac{50}{27}$

   Trả lời