M=\(\dfrac{4^{20}-2^{20}+6^{20}}{6^{20}-3^{20}+9^{20}}\)

M=\(\dfrac{\left(4-2+6\right)^{20}}{\left(6-3+9\right)^{20}}\)

M=\(\dfrac{8^{20}}{12^{20}}\)

M=\(\dfrac{8}{12}\)

M=\(\dfrac{2}{3}\)

CHÚC BẠN HỌC TỐT NHA!!!

\(\dfrac{4^{20}-2^{20}+6^{20}}{6^{20}-3^{20}+9^{20}}=\dfrac{2^{20}.2^{20}-2^{20}+3^{20}.2^{20}}{2^{20}.3^{20}-3^{20}+3^{20}.3^{20}}=\dfrac{\left(2^{20}-1+3^{20}\right).2^{20}}{\left(2^{20}-1+3^{20}\right).3^{20}}=\dfrac{2^{20}}{3^{20}}\)

\(\dfrac{45^{10}\cdot5^{20}}{75^{15}}=\dfrac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(3\cdot5^2\right)^{15}}=\dfrac{3^{20}\cdot5^{10}\cdot5^{20}}{3^{15}\cdot5^{30}}=3^5=243\\ \dfrac{6^6+6^3+3^3+3^6}{-73}=\dfrac{46656+216+27+729}{-73}=-\dfrac{47628}{73}\\ \dfrac{27^7+3^{15}}{9^9-27}=\dfrac{\left(3^3\right)^7+3^{15}}{\left(3^2\right)^9-3^3}=\dfrac{3^{21}+3^{15}}{3^{18}-3^3}=\dfrac{3^{15}\left(3^6+1\right)}{3^3\left(3^{15}-1\right)}=\dfrac{3^5\cdot730}{3^{15}-1}\\ \dfrac{8^{20}+4^{20}}{4^{25}+64^5}=\dfrac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}=\dfrac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}=2^{10}=1024\)

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

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

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

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

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

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

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

Uk mk nhận nha