\(\frac{2015}{2016}< \frac{2016}{2016}=1=\frac{2034}{2034}< \frac{2035}{2034}\)

\(\Rightarrow\frac{2015}{2016}< \frac{2035}{2034}\)

\(\frac{-2025}{2024}< \frac{-2024}{2024}=-1< \frac{-2026}{2027}\)

\(\Rightarrow\frac{-2025}{2024}< \frac{-2026}{2027}\)

#)Giải :

a) Ta có :

\(1-\frac{2015}{2016}=\frac{1}{2016}\)

\(1-\frac{2035}{2036}=\frac{1}{2036}\)

Vì \(\frac{1}{2016}>\frac{1}{2036}\Rightarrow\frac{2015}{2016}>\frac{2035}{2036}\)

b) Ta có : 

\(1+\frac{-2025}{2024}=\frac{-1}{2024}\)

\(1+-\frac{2026}{2027}=\frac{-1}{2027}\)

Vì \(\frac{-1}{2024}< \frac{-1}{2027}\Rightarrow\frac{-2025}{2024}< \frac{-2026}{2027}\)

a,2x^2=x 

=>2x^2 -x=0

=>x(2x-1)=0

th1 x=0

th2 2x-1=0 => 2x=1 =>x=1/2

b,x^2-1/36=0

<=> x^2-(1/6)^2=0

<=> (x-1/6)(x+1/6)=0

th1 x-1/6=0 =>x=1/6

th2 x+1/6=0 =>x=-1/6

\(n^4+2n^3+2n^2+2n+1=\left(n^4+2n^3+n^2\right)+\left(n^2+2n+1\right)=\left(n^2+1\right)\left(n+1\right)^2\)

Voi n=0 

=>n⁴+2n³+2n²+2n+1=1=1²

\(\frac{\left(\frac{2}{3}\right)^3\cdot\left(-\frac{3}{4}\right)^2\cdot\left(-1\right)^5}{\left(\frac{2}{5}\right)^2\cdot\left(-\frac{5}{12}\right)^3}\)

\(=\frac{\frac{2^3}{3^3}\cdot\frac{3^2}{4^2}\cdot\left(-1\right)}{\frac{2^2}{5^2}\cdot\frac{\left(-5\right)^3}{12^3}}\)

\(=\frac{\frac{8}{27}\cdot\frac{9}{16}\cdot\left(-1\right)}{\frac{4}{25}\cdot\frac{-125}{1728}}=\frac{-\frac{1}{6}}{-\frac{5}{432}}=\left(-\frac{1}{6}\right)\cdot\left(-\frac{432}{5}\right)=\frac{72}{5}\)

\(\frac{4^5\cdot9^42\cdot6^9}{2^{10}\cdot3^8+6^8\cdot20}\)

\(=\frac{\left(2^2\right)^5\cdot\left(3^2\right)^4-2\cdot\left(2.3\right)^9}{2^{10}\cdot3^8+\left(2.3\right)^8\cdot2^2.5}\)

\(=\frac{2^{10}\cdot3^8-2^{10}\cdot3^9}{2^{10}\cdot3^8+2^{10}\cdot3^8\cdot5}\)

\(=\frac{2^{10}\left(3^8-3^9\right)}{2^{10}\cdot\left(3^8+3^8\cdot5\right)}=\frac{2^{10}\cdot\left(-13122\right)}{2^{10}\cdot39366}=\frac{-13122}{39366}=-\frac{1}{3}\)

trả lời 2^7.(3^2)^3 / 2^5.3^5.(2^3)^2

        =2^7.3^6 / 2^11.3^5

= 3 / 2^4=3/16

\(\frac{2^7\cdot9^3}{6^5\cdot8^2}=\frac{2^7\cdot3^6}{2^5\cdot3^5\cdot2^6}=\frac{2^7\cdot3^6}{2^{11}\cdot3^5}=\frac{3}{2^4}=\frac{3}{16}\)

Câu hỏi của ❖︵Ňɠυүễη Çɦâυ Ƭυấη Ƙїệт♔ - Toán lớp 7 - Học toán với OnlineMath

=100/3^2+2+3+4