*) \(\left(\frac{-2}{3}\right)^2-\left|\frac{-7}{5}\right|:14+9.\left(\frac{-2018}{2019}\right)^0\)
\(=\frac{4}{9}-\frac{7}{5}:14+9.1\)
\(=\frac{4}{9}-\frac{1}{10}+9\)
\(=\frac{40}{90}-\frac{9}{90}+\frac{810}{90}\)
\(=\frac{841}{90}\)
*) \(\frac{2^3.9^8}{6^{15}.81}\)
\(=\frac{2^3.\left(3^2\right)^8}{2^{15}.3^{15}.3^4}\)
\(=\frac{2^3.3^{16}}{2^{15}.3^{19}}\)
\(=\frac{1}{2^{12}.3^3}\)
\(=\frac{1}{110592}\)
Câu 1.Thực hiện phép tính:
a) -1\(\dfrac{5}{7}.15+\dfrac{2}{7}.\left(-15\right)+\left(-105\right).\left(\dfrac{2}{3}-\dfrac{4}{5}+\dfrac{1}{7}\right)\)
b) \(\dfrac{2^{15}.9^4}{6^6.8^3}\)
bài 1 : thực hiện phép tính
1)\(A=\frac{1}{3}-\frac{3}{4}-\left(\frac{-3}{5}\right)+\frac{1}{72}-\frac{2}{9}-\frac{1}{36}+\frac{1}{15}\)
2)\(1-\frac{1}{2}+2-\frac{2}{3}+3-\frac{3}{4}+4-\frac{1}{4}-3-\frac{1}{3}-2-\frac{1}{2}-1\)
3)\(A=\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
4)\(\frac{27^2.10^3}{6^2.3^4.4^3}\)
5)\(\frac{11}{125}-\frac{17}{18}-\frac{5}{7}+\frac{4}{9}+\frac{17}{14}\)
giúp mình với
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) \(\left[2^3.\left(-\dfrac{1}{2}\right)^3+\dfrac{1}{2}\right]+\left[\dfrac{25}{22}+\dfrac{6}{25}-\dfrac{3}{22}+\dfrac{19}{25}+\dfrac{1}{2}\right]\)
Thực hiện phép tính
a, \(\dfrac{5}{16}\)+\(\dfrac{1}{12}-\dfrac{7}{8}\)
b,\(\dfrac{5}{17}+\dfrac{8}{9}+\dfrac{17}{17}-\)0,7\(-1\dfrac{8}{9}\)
c,\((1-\dfrac{1}{2})^2-(-\dfrac{1}{3})^2:\dfrac{1}{3}+\dfrac{\sqrt{64}}{4}\)
d,\(15\dfrac{1}{4}:(-\dfrac{5}{7})-25\dfrac{1}{4}:(-\dfrac{5}{7})\)
Bài 1: Thực hiện phép tính:
a) \(\left(\frac{3}{5}\right)^2-[\frac{1}{3}:3-\sqrt{16}.\left(\frac{1}{2}\right)^2]-\left(10\times12-2014\right)^0\)
b)\(|-\frac{100}{123}|:\left(\frac{3}{4}+\frac{7}{12}\right)+\frac{23}{123}:\left(\frac{9}{5}-\frac{7}{15}\right)\)
c) \(\frac{\left(-5\right)^{32}\times20^{43}}{\left(-8\right)^{29}\times125^{25}}\)
Bài 2: Tìm x biết
a)\(\frac{2}{3}-\left(\frac{3}{4}-x\right)=\sqrt{\frac{1}{9}}\)
b) \(\left(\frac{1}{2}-x\right)^2=\left(-2\right)^2\)
c) \(|3x+\frac{1}{2}|-\frac{2}{3}=1\)
d) \(3^{2x+1}=81\)
Bài 2 khó hơn nè : Thực hiện phép tính:
a, \(\dfrac{3}{5}+\dfrac{2}{7}
\)
b , \(\dfrac{-4}{3}:\dfrac{2}{15}\)
c, \(\dfrac{3}{7}.\dfrac{2}{9}+\dfrac{7}{9}.\dfrac{3}{7}\)
d, \(\left(\dfrac{-2}{3}\right)^3.9^2+\left(\dfrac{-3}{4}\right)^2.32\)
Tính:
\(\left(\dfrac{9}{25}-2.18\right):\left(3\dfrac{4}{5}+0,2\right)\)
\(\dfrac{3}{8}.19\dfrac{1}{3}\dfrac{3}{8}.33\dfrac{1}{3}\)
\(15.\left(-\dfrac{2}{3}\right)^2-\dfrac{7}{3}\)
\(\dfrac{1}{2}\sqrt{64}-\sqrt{\dfrac{4}{25}}+\left(-1\right)^{2007}\)
\(\left(-\dfrac{5}{2}\right)^2:\left(-15\right)-\left(0,45+\dfrac{3}{4}\right).\left(-1\dfrac{5}{9}\right)\)
\(\left(\dfrac{-1}{3}\right)-\left(\dfrac{-3}{5}\right)^0+\left(1-\dfrac{1}{2}\right)^2:2\)
\(\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{4}\right)^{20}\)
\(\dfrac{5^4.20}{25^5.4^5}\)
Tính
a, \(5\dfrac{4}{13}.14\dfrac{3}{41}-5\dfrac{4}{13}.2\dfrac{3}{41}\)
b, \(\dfrac{2^3}{3^3}:\dfrac{16}{27}+\dfrac{2017}{2018}-\dfrac{1}{2}.2017^0\)
c, \(3:\left(\dfrac{-3}{2}\right)^2+\dfrac{1}{9}.\sqrt{36}\)
1. Thực hiện phép tính:
a) 3\(^3\) . 9\(^{-1}\)
b) 25 . 5\(^{-1}\). 5\(^0\)
c) 3\(^2\). \(\frac{1}{243}\). 81\(^2\). 3\(^{-3}\)
d) 3\(^2\). 2\(^5\) . (\(\frac{3}{2}\) )\(^{-2}\)
