Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(a^5.a^7:a^{11}\left(a\inℤ\right)\)
\(\Rightarrow a^5.a^7:a^{11}=a^{5+7}:a^{11}=a^{12}:a^{11}=a^1=a\)
b) \(x^6:x^3.x^2\)
\(\Rightarrow x^{6-3}.x^2=x^3.x^2=x^5\)
c) \(\left[\left(x^8\right)^3\right]^0\left(x\ne0\right)\)
\(\Rightarrow\left[\left(x^8\right)^3\right]^0=\left(x^{24}\right)^0=1\)
a) \(2\dfrac{3}{4}-x=\dfrac{3}{4}\)
\(\Rightarrow\dfrac{11}{4}-x=\dfrac{3}{4}\)
\(\Rightarrow x=\dfrac{11}{4}-\dfrac{3}{4}=\dfrac{8}{4}=2\)
b) \(x:\dfrac{5}{6}=-\dfrac{3}{5}\)
\(\Rightarrow x=-\dfrac{3}{5}.\dfrac{5}{6}=-\dfrac{15}{30}=-\dfrac{1}{2}\)
c) \(1\dfrac{1}{3}+\dfrac{2}{3}:x=1\)
\(\Rightarrow\dfrac{2}{3}:x=1-1\dfrac{1}{3}\)
\(\Rightarrow\dfrac{2}{3}:x=-\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{2}{3}:-\dfrac{1}{3}\)
\(\Rightarrow x=-2\)
d) \(x-\dfrac{1}{9}=\dfrac{8}{3}\)
\(\Rightarrow x=\dfrac{8}{3}+\dfrac{1}{9}\)
\(\Rightarrow x=\dfrac{25}{9}\)
e) \(\dfrac{1}{2}x+650\%x-x=-6\)
\(\Rightarrow\dfrac{1}{2}x+\dfrac{13}{2}x-x=-6\)
\(\Rightarrow x\left(\dfrac{1}{2}+\dfrac{13}{2}-1\right)-6\)
\(\Rightarrow6x=-6\)
\(\Rightarrow x=\dfrac{-6}{6}=-1\)
g) \(2\left(x-\dfrac{1}{2}\right)+3\left(-1+\dfrac{x}{3}\right)=x\left(\dfrac{2}{x}-1\right)\) \(\text{Đ}K:x\ne0\)
\(\Rightarrow2x-1-3+x=2-x\)
\(\Rightarrow3x-4=2-x\)
\(\Rightarrow3x+x=2+4\)
\(\Rightarrow4x=6\)
\(\Rightarrow x=\dfrac{6}{4}=\dfrac{3}{2}\)
Ta có: \(2\left(x-\frac{1}{2}\right)+3\left(-1+\frac{x}{3}\right)=x\left(\frac{2}{x}-1\right)\)
\(2x-1+-3+\frac{3x}{3}=\frac{2x}{x}-x\)
\(2x-1+-3+x=2-x\)
\(\left(2x+x\right)+\left(-3\right)-1=2-x\)
\(3x+\left(-4\right)=2-x\)
\(3x+x=2-\left(-4\right)\)
\(4x=6\)
\(x=6:4\)
\(x=\frac{6}{4}=\frac{3}{2}\)
\([(x^8)^3]=[(x^2)^4)^3]=x^{512}(x\ne0)\)
Chúc bạn học tốt
\(\left[\left(x^8\right)^3\right]=x^{512}\)