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\(\frac{7}{9}\)\(\times\)\(\sqrt{324}\)\(+\)\(\frac{1}{3}\)\(\times\)\(\sqrt{81}\)\(+\)\(\left(2014\right)^o\)\(-\)\(\left|-16\right|\)
\(=\)\(\frac{7}{9}\)\(\times\)18 + \(\frac{1}{3}\)\(\times\)9 + (2014)\(^0\)- |-16|
\(=\)14 + 3 + 1 - 16
\(=\)2
Bạn K cho mình nha

linhpham linh
\(\left(x+\frac{3}{4}\right)^2=\frac{49}{16}\)
\(\Rightarrow\left(x+\frac{3}{4}\right)^2=\frac{7^2}{4^2}\)
\(\Rightarrow\left(x+\frac{3}{4}\right)^2=\left(\frac{7}{4}\right)^2\)
\(\Rightarrow x+\frac{3}{4}=\frac{7}{4}\)
\(\Rightarrow x=\frac{7}{4}-\frac{3}{4}\)
\(\Rightarrow x=1\)
a) \(\left(x+\frac{3}{4}\right)^2=\frac{49}{16}\)
=> x + \(\frac{3}{4}=\frac{7}{4}\)
=> x = \(\frac{7}{4}-\frac{3}{4}=\frac{4}{4}=1\)
c) (3x - 1)2 = 81
=> 3x - 1 = 9
=> 3x = 10
=> x = \(\frac{10}{3}\)

1/vì (1,782x-2-1,78x):1,78x=0
nên 1,78x2-2-1,78x=0
=>1,782x-2=1,78x
=>2x-2=x
2x=x+2
=>x=2
2/vì cơ số bằng nhau nên ta có
x-2=1;-1;0
ta có: x-2=1 => x=3
x-2=-1 => x=1
x-2=0 => x=2
3/ta có
(x+2)3=33 =>x+2=3 =>x=1
mik mệt rồi bạn cứ gải tiếp đi

a)
\((3x-7)^5=0\Rightarrow 3x-7=0\Rightarrow x=\frac{7}{3}\)
b)
\(\frac{1}{4}-(2x-1)^2=0\)
\(\Leftrightarrow (2x-1)^2=\frac{1}{4}=(\frac{1}{2})^2=(-\frac{1}{2})^2\)
\(\Rightarrow \left[\begin{matrix} 2x-1=\frac{1}{2}\\ 2x-1=\frac{-1}{2}\end{matrix}\right.\Rightarrow \Rightarrow \left[\begin{matrix} x=\frac{3}{4}\\ x=\frac{1}{4}\end{matrix}\right.\)
c)
\(\frac{1}{16}-(5-x)^3=\frac{31}{64}\)
\(\Leftrightarrow (5-x)^3=\frac{1}{16}-\frac{31}{64}=\frac{-27}{64}=(\frac{-3}{4})^3\)
\(\Leftrightarrow 5-x=\frac{-3}{4}\)
\(\Leftrightarrow x=\frac{23}{4}\)
d)
\(2x=(3,8)^3:(-3,8)^2=(3,8)^3:(3,8)^2=3,8\)
\(\Rightarrow x=3,8:2=1,9\)
e)
\((\frac{27}{64})^9.x=(\frac{-3}{4})^{32}\)
\(\Leftrightarrow [(\frac{3}{4})^3]^9.x=(\frac{3}{4})^{32}\)
\(\Leftrightarrow (\frac{3}{4})^{27}.x=(\frac{3}{4})^{32}\)
\(\Leftrightarrow x=(\frac{3}{4})^{32}:(\frac{3}{4})^{27}=(\frac{3}{4})^5\)
f)
\(5^{(x+5)(x^2-4)}=1\)
\(\Leftrightarrow (x+5)(x^2-4)=0\)
\(\Leftrightarrow \left[\begin{matrix} x+5=0\\ x^2-4=0\end{matrix}\right.\Leftrightarrow \left[\begin{matrix} x+5=0\\ x^2=4=2^2=(-2)^2\end{matrix}\right.\)
\(\Rightarrow \left[\begin{matrix} x=-5\\ x=\pm 2\end{matrix}\right.\)
g)
\((x-2,5)^2=\frac{4}{9}=(\frac{2}{3})^2=(\frac{-2}{3})^2\)
\(\Rightarrow \left[\begin{matrix} x-2,5=\frac{2}{3}\\ x-2,5=\frac{-2}{3}\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=\frac{19}{6}\\ x=\frac{11}{6}\end{matrix}\right.\)
h)
\((2x+\frac{1}{3})^3=\frac{8}{27}=(\frac{2}{3})^3\)
\(\Rightarrow 2x+\frac{1}{3}=\frac{2}{3}\Rightarrow x=\frac{1}{6}\)

Bài 1:
1. \(x:-\left(-\frac{1}{2}\right)=-\frac{1}{2}\)
⇒ \(x:\frac{1}{2}=-\frac{1}{2}\)
⇒ \(x=\left(-\frac{1}{2}\right).\frac{1}{2}\)
⇒ \(x=-\frac{1}{4}\)
Vậy \(x=-\frac{1}{4}.\)
3. \(\frac{16}{2^n}=2\)
⇒ \(2^n=16:2\)
⇒ \(2^n=8\)
⇒ \(2^n=2^3\)
⇒ \(n=3\)
Vậy \(n=3.\)
4. \(\frac{-3^n}{81}=-27\)
⇒ \(\left(-3\right)^n=\left(-27\right).81\)
⇒ \(\left(-3\right)^n=-2187\)
⇒ \(\left(-3\right)^n=\left(-3\right)^7\)
⇒ \(n=7\)
Vậy \(n=7.\)
Chúc bạn học tốt!
\(\left(x+3\right)^4-\frac{16}{81}=0\)
\(\left(x+3\right)^4=\frac{16}{81}\)
\(\left(x+3\right)^4=\left(\frac{\pm2}{3}\right)^4\)
\(\Rightarrow\orbr{\begin{cases}x+3=\frac{2}{3}\\x+3=\frac{-2}{3}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-7}{3}\\x=\frac{-11}{3}\end{cases}}\)
Vậy....