\(\dfrac{4^5.3^{10}+6^8}{8^3.27^3+6^7}\)
\(=\dfrac{2^{10}.3^{10}+6^8}{2^9.3^9+6^7}\)
\(=\dfrac{6^{10}+6^8}{6^9+6^7}\)
\(=\dfrac{6^8.\left(6^2+1\right)}{6^7.\left(6^2+1\right)}\)
\(=6.\)
Bài 1: Thực hiên phép tính:
a) \(\dfrac{1}{99.97}-\dfrac{1}{97.95}-\dfrac{1}{95.93}-...-\dfrac{1}{5.3}-\dfrac{1}{3.1}\)
b)\(\dfrac{\dfrac{3}{7}-\dfrac{3}{11}+\dfrac{3}{13}}{\dfrac{5}{7}-\dfrac{5}{11}+\dfrac{5}{13}}+\dfrac{\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{4}}{\dfrac{5}{4}-\dfrac{5}{6}+\dfrac{5}{8}}\)
a) Tính giá trị biểu thức sau:
\(\dfrac{9^4.8^6}{6^{10}.16^3}\)
b) Tìm x:
1/ \(\left(\dfrac{4}{5}x-1\right).\left(6x+\dfrac{1}{2}\right)=0\)
2/
\(\left(2x+1\right)^2=25\)
3/
x:8,5=0,69:(-1,15)
4/
3(3x+5)-2(6-2x)=10
5/
\(\sqrt{x}=2,5\)
6/
\(3^{X-1}+5.3^{x-1}=162\)
7/
\(\dfrac{X-5}{1}+\dfrac{X-5}{2}+\dfrac{X-5}{3}+\dfrac{X-5}{4}=0\)
Tính :
\(E=\dfrac{\left(13\dfrac{1}{4}-2\dfrac{5}{27}-10\dfrac{5}{6}\right).230\dfrac{1}{25}+46\dfrac{3}{4}}{\left(1\dfrac{3}{7}+\dfrac{10}{3}\right):\left(12\dfrac{1}{3}-14\dfrac{2}{7}\right)}\)
Tính giá trị biểu thức
\(N=\dfrac{6^6+6^3.3^3+3^6}{-73}\)
\(M=\dfrac{8^{20}+4^{20}}{4^{25}+64^5}\)
\(T=\dfrac{45^{10}.5^{20}}{75^{15}}\)
thực hiện phép tính (tính hợp lí nếu có thể)
1) \(\left(-\dfrac{1}{2}\right)^2:\dfrac{1}{4}-2.\left(\dfrac{-1}{2}\right)^3+\sqrt{4}\)
2) \(3-\left(\dfrac{-6}{7}\right)^0+\sqrt{9}:2\)
3) \(\left(-2\right)^3+\dfrac{1}{2}:\dfrac{1}{8}-\sqrt{25}+\left|-64\right|\)
4) \(\left(-\dfrac{1}{2}\right)^4+\left|-\dfrac{2}{3}\right|-2007^0\)
5) \(\dfrac{\left(0,4-\dfrac{2}{9}+\dfrac{2}{11}\right)}{1,4-\dfrac{7}{9}+\dfrac{7}{11}}-\dfrac{\dfrac{1}{3}-0,25+\dfrac{1}{5}}{1\dfrac{1}{6}-0,875+0,7}\)
6) \(\left[2^3.\left(-\dfrac{1}{2}\right)^3+\dfrac{1}{2}\right]+\left[\dfrac{25}{22}+\dfrac{6}{25}-\dfrac{3}{22}+\dfrac{19}{25}+\dfrac{1}{2}\right]\)
Tìm y biết :
a) \(-\dfrac{3}{5}.y=\dfrac{21}{10}\)
b) \(y:\dfrac{3}{8}=-1\dfrac{31}{33}\)
c) \(1\dfrac{2}{5}.y+\dfrac{3}{7}=-\dfrac{4}{5}\)
d) \(-\dfrac{11}{12}.y+0,25=\dfrac{5}{6}\)
B=\(\dfrac{4^5.9^4-2^{10}.9^5}{2^{10}.3^8+6^8.20}\)
Tính B?
HELP ME, PLEASE
\(E=\dfrac{\left(13\dfrac{1}{4}-2\dfrac{5}{27}-10\dfrac{5}{6}\right).230\dfrac{1}{25}+46\dfrac{3}{4}}{\left(1\dfrac{3}{7}+\dfrac{10}{3}\right):\left(12\dfrac{1}{3}-14\dfrac{2}{7}\right)}\)
Tìm y, biết:
a) \(-\dfrac{3}{5}\times y=\dfrac{21}{10}\)
b) \(y\div\dfrac{3}{8}=-1\dfrac{31}{33}\)
c) \(1\dfrac{2}{5}\times y+\dfrac{3}{7}=-\dfrac{4}{5}\)
d) \(-\dfrac{11}{12}\times y+0,25=\dfrac{5}{6}\)
