1.
\(\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}.\left(2^{10}+1\right)}{2^{12}.\left(2^{10}+1\right)}=\frac{2^{20}}{2^{12}}=2^8=256.\)
Chúc bạn học tốt!
410 . 96 + 312 . 85
______________
613 . 4 - 216 . 312
Bài 1: Tìm x, biết
\(a,\frac{2}{3}-\frac{1}{3}.\left(x-\frac{3}{2}\right)-\frac{1}{2}.\left(2x+1\right)=5\)
\(b,\left(x+\frac{1}{2}\right).\left(x-\frac{3}{4}\right)=0\)
\(c,\left(2x-5\right)^4=81\)
\(d,3^{x+1}+3^{x+3}=810\)
Bài 2: Tính hợp lý :
a) 32 . 1/243 . 812 . 1/32
b) 46 .2562 . 24
c) A = 46 . 95 + 69 .120 / 84 . 312 - 611
d) B = 42 . 252 + 32 . 125 / 23 . 52
tìm x
a/ \(\dfrac{5^x}{125}\)= 25\(^4\) b/ \(\dfrac{3^x}{3}\)+ 3\(^{x-2}\) = 4
c/ (x + \(\dfrac{2006}{2007}\))\(^6\) =0 d/ (x-\(\dfrac{1}{5}\))\(^3\)= \(\dfrac{8}{125}\)
e/ 3\(^x\) + 3\(^{x-2}\)= 810 g/ 5\(^{x+2}\) +5\(^{x+1}\) +5\(^x\) = 19375
giúp mk nha các bn mk
b1 :tính
a) N = (1/2 - 1). (1/3 - 1). (1/4 - 1) .... (1/2016 - 1). (1/2017 - 1)
b) P = (-1/1/2). (-1/1/3). (-1/1/4) ... (-1/1/2015). (2016/01/01)
c) Q = 1/13 + 3 / 13,23 + 3 / 23,33 + ... + 3 / 2013,2023
d) R = 1 / 2017.2016-1 / 2016.2015-1 / 2015.2014 - ... -. 1 / 3.2 - 1/ 2.1
( chú ý : / là phần nha )
tính : F =[2.3012] /[1+1/(1+2) +1/(1+2+3)+.....+1/(1+2+...+3012)]
Tính F =2.3012/ (1+1/(1+2)+1/(1+2+3)+.....+1/(1+2+...+3012))
1) Thực hiện phép tính
a) \(\dfrac{4^6x9^5+6^9x120}{-8^4x3^{12}-6^{11}}\)
b) \(\dfrac{1}{1-\dfrac{1}{1-2-1}}+\dfrac{1}{1+\dfrac{1}{1+2-1}}\)
Tính nhanh :
1)A=\(\frac{1}{2}-\frac{1}{2^2}+\frac{1}{2^3}-...+\frac{1}{2^{99}}-\frac{1}{2^{100}}\)
2)B=\(\frac{1}{2}+\frac{1}{2^3}+\frac{1}{2^5}+...+\frac{1}{2^{99}}\)
3)C=\(\frac{1}{2}-\frac{1}{2^4}+\frac{1}{2^7}-\frac{1}{2^{10}}+...-\frac{1}{2^{58}}\)
