a, (5^-5)^-1 . \(\left(\dfrac{1}{2}\right)^{-2}\) . \(\dfrac{1}{10^5}\)

= 5⁵ . \(\dfrac{1^{-2}}{2^{-2}}\) . \(\dfrac{1}{10^5}\)

= (5⁵ . \(\dfrac{1}{10^5}\)) . \(\dfrac{1}{4}\)

= \(\dfrac{5^5}{10^5}\) . \(\dfrac{1}{4}\) = \(\left(\dfrac{1}{2}\right)^5\). \(\dfrac{1}{4}\)

= \(\dfrac{1}{32}.\text{​​}\dfrac{1}{4}\)= \(\dfrac{1}{128}\)

b: \(=\dfrac{2^{12}\cdot3^{10}+2^{12}\cdot3^{10}\cdot5}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}\)

\(=\dfrac{2^{13}\cdot3^{11}}{2^{11}\cdot3^{11}\left(2\cdot3-1\right)}=\dfrac{4}{5}\)

c: \(=\dfrac{2^4\cdot5^4+2^5\cdot5^3}{2^3\cdot5^2}=\dfrac{2^4\cdot5^3\left(5+2\right)}{2^3\cdot5^2}=10\cdot7=70\)

a) \(3^2.\frac{1}{243}.81^2.\frac{1}{3^2}=\frac{1.81^2}{243}.\frac{3^2}{3^2}=\frac{6561}{243}.1=27\)

b, \(4^6.256^2.2^4=2^{12}.2^{16}.2^4=2^{32}\)

c)  \(A=\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)(Mình rút gọn lun cho nhanh nhé ) \(\Rightarrow A=\frac{4}{5}\)

d) \(\Rightarrow B=70\)k cho mình nha Cô Nàng Họ Dương

Đây nhé : ý a,b mình đã giải thích rồi 

c) \(=\frac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}.\left(1+5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}=\frac{2.6}{3.5}=\frac{12}{15}=\frac{4}{5}\)\(\frac{4}{5}\)

d) \(=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}=\frac{2^4.5^3.\left(5+2\right)}{2^3.5^2}=2.5.7=70\)

\(A=\dfrac{4^2.25^2+32.125}{2^3.5^2}\)

\(A=\dfrac{\left(2^2\right)^2.\left(5^2\right)^2+2^5.5^3}{2^3.5^2}\)

\(A=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}\)

\(A=\dfrac{2^4.2^5+5^4.5^3}{2^3.5^2}\)

\(A=\dfrac{2^{4+5}+5^{4+3}}{2^3.5^2}\)

\(A=\dfrac{2^9.5^7}{2^3.5^2}=2^6.5^5\)

\(A=\dfrac{4^2.25^2+32.125}{2^3.5^2}=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}\)

\(=\dfrac{2^4.5^3\left(5+2\right)}{2^3.5^2}=10.7=70\)

\(B=\dfrac{4^6.9^5+6^4.120}{8^4.3^{12}-6^{11}}=\dfrac{2^{12}.3^{10}+2^4.3^4.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)

\(=\dfrac{2^{12}.3^{10}+2^7.3^5.5}{2^{11}.3^{11}\left(2.3-1\right)}=\dfrac{2^7.3^5\left(2^5.3^5+5\right)}{2^{11}.3^{11}\left(2.3-1\right)}\)

\(=\dfrac{2^5.3^5+5}{2^4.3^6.5}=\dfrac{2}{3.5}+\dfrac{5}{2^4.3^6.5}=\dfrac{2}{15}+\dfrac{1}{11664}\)

\(=\dfrac{7781}{58320}\)

Chúc bạn học tốt!!!

Cạn lời Hiếu bđ

\(PHUCDZ=\dfrac{4^2.25^2+32.125}{2^3.5^2}\)

\(PHUCDZ=\dfrac{\left(2^2\right)^2.\left(5^2\right)^2+2^5.5^3}{2^3.5^2}\)

\(PHUCDZ=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}\)

\(PHUCDZ=\dfrac{2^3.2.5^2.5^2+2^3.4.5^2.5}{2^3.5^2}\)

\(PHUCDZ=\dfrac{2^3.5^2\left(2.5^2+4.5\right)}{2^3.5^2}\)

\(PHUCDZ=2.5^2+4.5=70\)

\(PHUCMAXDZ=\dfrac{4^6.9^5+6^4.120}{8^4.3^{12}-6^{11}}\)

\(PHUCMAXDZ=\dfrac{\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^4.2^2.3.5}{\left(2^3\right)^4.3^{12}-6^{11}}\)

\(PHUCMAXDZ=\dfrac{2^{12}.3^{10}+2^4.3^4.2^2.3.5}{2^{12}.3^{12}-6^{11}}\)

\(PHUCMAXDZ=\dfrac{2^{12}.3^{10}+2^6.3^5.5}{6^{12}-6^{11}}\)

\(PHUCMAXDZ=\dfrac{2^{12}.3^{10}+2^6.3^5.5}{6^{11}\left(6-1\right)}\)

\(PHUCMAXDZ=\dfrac{2^{12}.3^{10}+2^6.3^5.5}{6^{11}.5}\)

\(PHUCMAXDZ=\dfrac{2^2.2^{10}.3^{10}+2^5.3^5.3.5}{6^{11}.5}\)

\(PHUCMAXDZ=\dfrac{4.6^{10}+6^5.15}{6^{11}.5}\)

\(PHUCMAXDZ=\dfrac{6^5.6^4.4+6^5.15}{6^{11}.5}\)

\(PHUCMAXDZ=\dfrac{6^5.5184+6^5.15}{6^5.6^6.5}\)

\(PHUCMAXDZ=\dfrac{6^5\left(5184+15\right)}{6^5\left(6^6.5\right)}\)\(=\dfrac{5199}{233280}\)

ngu dễ mà không biết làm mày là đồ con lợn

a = 4/5 nha

Dễ mà bạn