\(\frac{(3^4-3^3)^3}{27^3}=\frac{3{^3}^3(3-1)}{27^3}=\frac{27^3.2}{27^3}=2 chia hết cho 2 \)
\(\frac{(3^4-3^3)^3}{27^3}=\frac{3{^3}^3(3-1)}{27^3}=\frac{27^3.2}{27^3}=2 chia hết cho 2 \)
Bài 3: Cho B = \(\dfrac{1}{3}\) + \(\left(\dfrac{1}{3}\right)^2\) + \(\left(\dfrac{1}{3}\right)^3\) + \(\left(\dfrac{1}{3}\right)^4\) + ... + \(\left(\dfrac{1}{3}\right)^{100}\)
Chứng tỏ rằng : B không phải là một số nguyên
mọi người ơi giúp mik với , ai làm đc mik tick cho
Tìm x:
1)\(\left(x-2\right)^3=-27\)
2)\(\left(2x-3\right)^2=25\)
3)\(3^{x-1}=\dfrac{1}{243}\)
4)\(2x+2^{x+3}=144\)
5)\(\left(2x-3\right)^2=16\)
6)\(\left(3x-2\right)^5=-243\)
7)\(\left(7x+2\right)^{-1}=3^{-2}\)
Chứng Minh Rằng
\(3^{n+3}+3^{n+1}+2^{n+3}+2^{n+2}⋮6\)
Giúp mình với
tim x
a, \(\left(3x-2\right)^2=16\)
b, \(\left(\dfrac{4}{5}x-\dfrac{3}{4}\right)^3=\dfrac{-8}{125}\)
c, \(5^{x+2}+5^x=3250\)
d, \(\left(4x-3\right)^4=\left(4x-3\right)^2\)
giup minh nhe minh dang can gap
Rút gọn:
a) \(\dfrac{2^{19}\cdot27^3+15\cdot4^9\cdot9^4}{6^9\cdot2^{10}+2^{10}}\)
b) \(\dfrac{\left(-\dfrac{1}{2}\right)^3-\left(\dfrac{3}{4}\right)^3\cdot\left(-2\right)^2}{2\cdot\left(-1\right)+\left(\dfrac{3}{4}\right)^2-\left(\dfrac{3}{8}\right)}\)
Rút gọn biểu thức:
P = \(\dfrac{1}{3}\) - \(\left(\dfrac{1}{3}\right)^2\) + \(\left(\dfrac{1}{3}\right)^3\) - \(\left(\dfrac{1}{3}\right)^4\) + ... + \(\left(\dfrac{1}{3}\right)^{19}\) - \(\left(\dfrac{1}{3}\right)^{20}\)
mọi người ơi giúp mik với ai làm đc mik tick cho
Chứng minh rằng:
M = \(\dfrac{1}{3}+\dfrac{2}{3^2}+\dfrac{3}{3^3}+\dfrac{4}{3^4}+...+\dfrac{100}{3^{100}}\)<\(\dfrac{3}{4}\)
Tính :
a) \(\left(1+\dfrac{2}{3}-\dfrac{1}{4}\right).\left(\dfrac{4}{5}-\dfrac{3}{4}\right)^2\)
b) \(2:\left(\dfrac{1}{2}-\dfrac{2}{3}\right)^3\)
tính
a, \(\left(1+\dfrac{2}{3}-\dfrac{1}{4}\right).\left(\dfrac{4}{5}-\dfrac{3}{4}\right)^2\)
b,\(2:\left(\dfrac{1}{2}-\dfrac{2}{3}\right)^3\)
nhanh giúp mình nhé mai mình đi học rùi
\(\dfrac{\left(\dfrac{2}{3}\right)^3.\left(\dfrac{3}{4}\right)^2.\left(-1\right)}{\left(\dfrac{2}{3}\right)^2.\left(\dfrac{5}{12}\right)^3}\)