\(A=\frac{4^{20}-2^{20}+6^{20}}{6^{20}-3^{20}+9^{20}}\)

\(A=\frac{2^{20}.2^{20}-2^{20}+3^{20}.2^{20}}{2^{20}.3^{20}-3^{20}+3^{20}.3^{20}}\)

\(A=\frac{\left(2^{20}-1+3^{20}\right).2^{20}}{\left(2^{20}-1+3^{20}\right).3^{20}}\)

\(\Rightarrow A=\frac{2^{20}}{3^{20}}\)

\(=\frac{\left(2^{20}-1^{20}+3^{20}\right)\cdot2^{20}}{\left(2^{20}-1^{20}+3^{20}\right)\cdot3^{20}}\left(\text{Mình làm hơi tắt, xin bạn thông cảm}\right)\)

\(=\frac{2^{20}}{3^{20}}=\left(\frac{2}{3}\right)^{20}\)

Uk mk nhận nha

Rút gọn biểu thức trên nha.

\(M=\frac{2.6.10+4.12.20+...+20.60.100}{1.2.3+2.4.6+...+10.20.30}=\frac{2.6.10.1^3+2.6.10.2^3+...+2.6.10.10^3}{1.2.3.1^3+1.2.3.2^3+...+1.2.3.10^3}\)

\(=\frac{2.6.10.\left(1^3+2^3+...+10^3\right)}{1.2.3.\left(1^3+2^3+...+10^3\right)}=\frac{2.6.10}{1.2.3}=20\)

vậy M=20

bạn ơi ! đề bài

\(M=\frac{2.6.10+4.12.20+6.18.30+...+20.60.100}{1.2.3+2.4.6+3.6.9+...+10.20.30}\)

\(=\frac{2.6.10.\left(1+2+3+...+10\right)}{1.2.3.\left(1+2+3+...+10\right)}\)

\(=20\)

\(\frac{4^{20}-2^{20}-6^{20}}{6^{20}-3^{20}-9^{20}}=\frac{2^{20}.2^{20}-2^{20}-2^{20}.3^{20}}{3^{20}.2^{20}-3^{20}-3^{20}.3^{20}}\)

\(=\frac{2^{20}\left(2^{20}-1-3^{20}\right)}{3^{20}\left(2^{20}-1-3^{20}\right)}=\frac{2^{20}}{3^{20}}\)