b: \(8^{12}-2^{33}-2^{30}\)

\(=2^{36}-2^{33}-2^{30}\)

\(=2^{30}\left(2^6-2^3-1\right)=2^{30}\cdot55⋮55\)

c: \(8^7-2^{18}=2^{21}-2^{18}\)

\(=2^{18}\left(2^3-1\right)=2^{17}\cdot14⋮14\)

d: \(10^6-5^7\)

\(=2^6\cdot5^6-5^7\)

\(=5^6\left(2^6-5\right)=5^6\cdot59⋮59\)

tích của 71 số 2

Sửa đề: \(5^9\cdot49^2\)

\(=\dfrac{5^{10}\cdot7^3-5^9\cdot7^4}{5^9\cdot7^3+5^9\cdot14^3}-\dfrac{2^{12}-2^{12}\cdot3^4}{2^{12}\cdot3^6+2^{12}\cdot3^5}\)

\(=\dfrac{5^9\cdot7^3\left(5-7\right)}{5^9\cdot7^3\left(1+8\right)}-\dfrac{2^{12}\left(1-3^4\right)}{2^{12}\left(3^6+3^5\right)}=\dfrac{-2}{9}+\dfrac{80}{972}\)

=-34/243

\(A=\dfrac{2^{12}.3^5-\left(2^2\right)^6.\left(3^2\right)^2}{\left(2^2\right)^6.3+\left(2^3\right)^4.3^5}-\dfrac{5^{10}+7^3-\left(5^2\right)^5.\left(7^2\right)^2}{(5^3).7^3+5^9.\left(7^2\right)^3}\)

\(A=\dfrac{2^4.1-2.3^3}{1.1+1.1}-\dfrac{5+1-5.1}{1.1+1.7}\)

\(A=\dfrac{2^4-54}{2}-\dfrac{1.1}{2\cdot7}\)

\(A=(2^3-54)-\dfrac{1}{14}\)

\(A=\left(-46\right)-\dfrac{1}{14}\)

a=2^12.3^5-2^12.3^4/2^12.3^6+2^12.3^5 - 5^10.7^3-5^10.7^4/5^9.7^3+5^9.7^3.2^3

a=2^12.3^4.(3-1)/2^12.3^5.(3+1)-5^10.7^3.(1-7)/5^9.7^3.(1+8)

a=2/12-30/9

a=1/6-10/3=-19/6