\(\dfrac{81^6.9^5}{27^7.3^{11}}=\dfrac{\left(3^4\right)^6.\left(3^2\right)^5}{\left(3^3\right)^7.3^{11}}=\dfrac{3^{24}.3^{10}}{3^{21}.3^{11}}=\dfrac{3^3}{3}=3^2=9.\)
\(\dfrac{81^6.9^5}{27^7.3^{11}}=\dfrac{\left(3^4\right)^6.\left(3^2\right)^5}{\left(3^3\right)^7.3^{11}}=\dfrac{3^{24}.3^{10}}{3^{21}.3^{11}}=\dfrac{3^3}{3}=3^2=9.\)
\(\dfrac{10^3+2.5^3+5^3}{55}-\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
\(\dfrac{4^6.9^5+6^9.120}{-8^4.3^{12}+6^{11}}\)
Tính
\(\dfrac{4^6.9^5+6^9.120}{-8^4.3^{12}+6^{11}}\)
Thực hiện phép tính :
1) A = \(\dfrac{155-\dfrac{10}{7}-\dfrac{5}{11}+\dfrac{5}{23}}{403-\dfrac{26}{7}-\dfrac{13}{11}+\dfrac{13}{23}}+\dfrac{\dfrac{3}{5}+\dfrac{3}{13}-0,9}{\dfrac{7}{91}+0,2-\dfrac{3}{10}}\)
2) B = \(\dfrac{30.4^7.3^{29}-5.14^5.2^{12}}{54.6^{14}.9^7-12.8^5.7^5}\)
thực hiện phép tính :
\(A=\dfrac{155-\dfrac{10}{7}-\dfrac{5}{11}+\dfrac{5}{23}}{403-\dfrac{26}{7}-\dfrac{13}{11}+\dfrac{13}{23}}+\dfrac{\dfrac{3}{5}+\dfrac{3}{13}-0,9}{\dfrac{7}{91}+0,2-\dfrac{3}{10}}\)
\(B=\dfrac{30.4^7.3^{29}-5.14^5.2^{12}}{54.6^{14}.9^7-12.8^5.7^5}\)
Tính
a, \(\dfrac{4^6.9^5+6^9.120}{-8^4.3^{12}-6^{11}}\)
a) \(\left(\dfrac{1}{5}-\dfrac{3}{2}x\right)^2=\dfrac{9}{4}\)
b) \(\left(3x+1\right)^3=-27\)
c)\(7.3^{x-1}-3^{x+2}=-540\)
Tính giá trị của biểu thức :
B = \(\dfrac{4^6.9^5+6^9.120}{-8^4\cdot3^{12}+6^{11}}\)
Tìm x:
a) 27x .9x = 927:81
b)\(\left(\dfrac{12}{25}\right)^x=\left(\dfrac{5}{3}\right)^{-2}-\left(\dfrac{-3}{5}\right)^4\)