\(\dfrac{4^{20}\cdot3^{35}}{2^{37}\cdot27^{12}}\\ =\dfrac{\left(2^2\right)^{20}\cdot3^{35}}{2^{37}\cdot\left(3^3\right)^{12}}\\ =\dfrac{2^{40}\cdot3^{35}}{2^{37}\cdot3^{36}}\\ =\dfrac{2^3}{3}\\ =\dfrac{8}{3}\)
\(\dfrac{4^5.9^4}{8^3.27^3}\);\(\dfrac{4^{20}.3^{35}}{2^{37}.27^{12}}\)\(;\dfrac{5^4.20^4}{25^5.4^5};\dfrac{2^{15}.9^4}{6^6.8^3}\)
\(-\dfrac{5}{12}+\dfrac{4}{37}+\dfrac{7}{12}-\dfrac{41}{37}+\dfrac{1}{2}\)
Tính
1) 5 8 − − 2 5 − 3 10
2) − 5 12 + 4 37 + 17 12 − 41 37
3) − 1 3 − − 3 5 − 1 6 + 1 43 − − 3 7 + − 1 2 − 1 15
4) 3 4 − − 5 3 − 1 12 + 2 9
a,\(\frac{1}{2}-\left(\frac{-2}{5}\right)+\frac{1}{3}+\frac{5}{7}-\left(\frac{-1}{6}\right)+\frac{-4}{35}+\frac{1}{41}\)
b,\(0,75.\frac{3}{37}-\frac{3}{4}.\frac{29}{37}-\frac{15}{20}.\frac{11}{37}-0.25\)
Thực hiện phép tính(hợp lý nếu có thể):
20\(\dfrac{\text{2}}{\text{5}}\) : \(\dfrac{\text{5}}{\text{6}}\) - 35\(\dfrac{\text{2}}{\text{3}}\) : \(\dfrac{\text{5}}{\text{6}}\) -|-\(\dfrac{\text{3}}{\text{4}}\)|
rút gọn phân số
a)\(\dfrac{4^6.3^4.9^5}{6^{12}}\)
b)\(\dfrac{21^2.14.125}{35^2.6}\)
c)\(\dfrac{45^3.20^4.18^2}{180^5}\)
d)\(\dfrac{2^{13}+2^5}{2^{10}+2^2}\)
Giải phương trình: \(\dfrac{2}{1^2}.\dfrac{6}{2^2}.\dfrac{12}{3^2}.\dfrac{20}{4^2}...\dfrac{110}{10^2}\left(x-2\right)=-20\left(x+1\right)+60\)
bài 2: 1, \(\left(\dfrac{5}{6}\right)^{10}.\left(\dfrac{3}{10}\right)^{10}\)2,\(\left(\dfrac{4}{7}\right)^{19}:\left(\dfrac{-12}{35}\right)^{19}\) 3,\(\left(\dfrac{-3}{7}\right)^7:\left(\dfrac{-3}{5}\right)\)
= 26/24 x 27/5 x2x34/9 x 2x2/17
= 13/12 x 27/5 x2 x34/9 x2 x 2/17
= 13/12 x2x2 x27/5 x 34/9 x2/17
= 13/3 x27/5 x 4/9
= 117/5x4/9
= 52/5
a) rút gọn: \(\dfrac{4^5x9^4-2x6^9}{2^{10}x3^8+6^8x20}\)
b) Cho A=\(\dfrac{1}{2}+\dfrac{2}{2^2}+\dfrac{3}{2^3}+\dfrac{4}{2^4}+\dfrac{5}{2^5}+...\dfrac{99}{2^{99}}+\dfrac{100}{2^{100}}\).So sánh A với 2
