\(D=\dfrac{2^{10}\cdot3^{31}+2^{40}\cdot3^6}{2^{11}\cdot3^{31}+2^{41}\cdot3^6}\)
\(=\dfrac{2^{10}\cdot3^6\left(3^5+2^{35}\right)}{2^{11}\cdot3^6\left(3^5+2^{35}\right)}=\dfrac{1}{2}\)
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) \(-\dfrac{11}{12}.y+0,25=\dfrac{5}{6}\)
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) \(-\dfrac{11}{12}\times y+0,25=\dfrac{5}{6}\)
1,Tìm x, biết:
a/\(^{\left(x-1\right)^{x+2}}=^{\left(x-1\right)^{x+4}}\)
b/\(\dfrac{1}{4}\cdot\dfrac{2}{6}\cdot\dfrac{3}{8}\cdot\dfrac{4}{10}\cdot...\cdot\dfrac{30}{62}\cdot\dfrac{31}{64}=2x\)
c/\(4^x+3^x=2^x+6^x\left(STN\right)\)
GIÚP MÌNH NHANH NHA MÌNH TICK CHO
Chung minh:
a/ \(5^5-5^4+5^3⋮7\)
b/ \(7^6+7^5-7^4⋮11\)
c/ \(3^{x+2}-2^{x+3}+3^x-2^{x+1}⋮10\)
d/ \(3^{x+3}+3^{x+1}+2^{x+3}+2^{x+2}⋮6\)
Bài 1: So sánh
a) 22014 và 31343
b) 3111 và 1744
c) A= \(\dfrac{1}{2^1}\) + \(\dfrac{1}{2^2}\) + \(\dfrac{1}{2^3}\) + ......+ \(\dfrac{1}{2^{50}}\) và 1
d) B= \(\dfrac{1}{3^1}\) + \(\dfrac{1}{3^2}\) + \(\dfrac{1}{3^3}\) + .......+ \(\dfrac{1}{3^{100}}\) và \(\dfrac{1}{2}\)
Các bạn giúp mình với! Mình cảm ơn ☺
thực hiện phép tính (tính hợp lí nếu có thể)
1) \(-0,75.\dfrac{12}{-5}.4\dfrac{1}{6}.\left(-1\right)^2\)
2) \(\dfrac{11}{25}.\left(-24,8\right)-\dfrac{11}{25}.75,2\)
3) \(\left(-\dfrac{3}{4}+\dfrac{2}{7}\right):\dfrac{2}{3}+\left(-\dfrac{1}{4}+\dfrac{5}{7}\right):\dfrac{2}{3}\)
4) \(\left(\dfrac{1}{2}-\dfrac{2}{3}\right)-\left(\dfrac{5}{3}-\dfrac{3}{2}\right)+\left(\dfrac{7}{3}-\dfrac{5}{2}\right)\)
5) \(\left(-2\right)^2+\sqrt{36}-\sqrt{9}+\sqrt{25}\)
6) \(\left(-\dfrac{1}{3}\right)^2.\dfrac{4}{11}+\dfrac{7}{11}.\left(-\dfrac{1}{3}\right)^2\)
Bài 1: So sánh 2^69 và 5^31 và hãy chứng tỏ số 2^100 có 31 chữ số
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) \(\left[2^3.\left(-\dfrac{1}{2}\right)^3+\dfrac{1}{2}\right]+\left[\dfrac{25}{22}+\dfrac{6}{25}-\dfrac{3}{22}+\dfrac{19}{25}+\dfrac{1}{2}\right]\)
Bài 1 Tính
a) 45^10x5^10/75^10
b ) 2^15.9^4/6^3.8^3
c ) (0.8)^5/(0.4)^6
d ) 8^10+4^10/8^4+4^11
Bài 2 Tìm x
a ) (5x-1).(2x-1/3)=0
b) \(^{2^{x-1}}\)= 16
c ) 3^4<1/9.27^x<3^10
