\(\frac{^{\left(-7,5\right)^3}}{\left(2,5\right)^3}\)
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IM
13 tháng 9 2016
\(\frac{72^2}{24^2}=\frac{3^2.24^2}{24^2}=3^2=9\)
\(\frac{\left(-7,5\right)^2}{2,5^2}=\frac{\left(7,5\right)^2}{\left(2,5\right)^2}=\frac{\left(2,5\right)^2.3^2}{\left(2,5\right)^2}=9\)
\(\frac{15^2}{27}=\frac{3^2.5^2}{27}=\frac{9.25}{27}=\frac{25}{3}\)
PC
13 tháng 9 2016
\(\frac{72^2}{24^2}=\left(\frac{72}{24}\right)^2=3^2=9\)
\(\frac{\left(-7,5\right)^3}{\left(2,5\right)^3}=\left(\frac{-7,5}{2,5}\right)^3=\left(-3\right)^3=-27\)
\(\frac{15^3}{27}=\frac{15^3}{3^3}=\left(\frac{15}{3}\right)^3=5^3=125\)
Chúc bạn hok tốt 
13 tháng 10 2019
a)
\(7,5.\left(\frac{-2}{5}\right).\left(-2,5\right)\)
\(=7,5.\left[\left(\frac{-2}{5}\right).\left(-2,5\right)\right]\)
\(=7,5.1\)
\(=7,5\)
b)
\(\left(-50,5\right).8.\left(-0,25\right)\)
\(=\left(-50,5\right).\left[8.\left(-0,25\right)\right]\)
\(=\left(-50,5\right).\left(-2\right)\)
\(=101\)
c)
\(\left(0,125\right).\left(-3,7\right).\left(-2\right)^3\)
\(=\left(0,125\right).\left(-3,7\right).\left(-8\right)\)
\(=\left[\left(-8\right).\left(0,125\right)\right].\left(-3,7\right)\)
\(=\left(-1\right).\left(-3,7\right)\)
\(=3,7\)
Chúc cậu học tốt !!!
TH
28 tháng 9 2018
\(A=\left|4x-3\right|+\left|5y+7,5\right|+10\)
Mà \(\left|4x-3\right|\ge0\)với mọi x
\(\left|5y+7,5\right|\ge0\)với mọi y
\(\Rightarrow A\)có GTNN là 10
Để A có GTNN thì :
\(4x-3=0\) \(5y+7,5=0\)
\(4x=3\) \(5y=-7,5\)
\(x=\frac{3}{4}\) \(y=-1,5\)
TH
28 tháng 9 2018
\(B=\frac{5,8}{\left|2,5-x\right|+5,8}\)
Mà \(\left|2,5-x\right|\ge0\)
\(\Rightarrow\)GTNN \(\left|2,5-x\right|+5,8=5,8\)
Để B có GTLN \(\Rightarrow2,5-x=0\)
\(\Rightarrow x=2,5\)
LT
7 tháng 8 2020
a) \(\left(\frac{11}{12}:\frac{44}{16}\right).\left(\frac{-1}{3}+\frac{1}{2}\right)\) \(=\left(\frac{11}{12}.\frac{16}{44}\right).\left(\frac{-2}{6}+\frac{3}{6}\right)\) \(=\frac{1}{3}.\frac{1}{6}\) \(=\frac{1}{18}\)
b) \(\frac{\left(-5\right)^2.\left(-5\right)^3.16}{5^4.\left(-2\right)^4}\) \(=\frac{\left(-5\right)^5.2^4}{5^4.\left(-2\right)^4}\) \(=5\) (Có sửa đề lại, nếu có sai thì ib mình sửa lại nhé!)
c) \(7,5:\left(\frac{-5}{3}\right)+2\frac{1}{2}:\left(\frac{-5}{3}\right)\) \(=\frac{15}{2}.\left(\frac{-3}{5}\right)+\frac{5}{2}.\left(\frac{-3}{5}\right)\) \(=\frac{-3}{5}.\left(\frac{15}{2}+\frac{5}{2}\right)\)
\(=\frac{-3}{5}.10\) \(=-6\)
d) \(\left(\frac{-1}{2}+\frac{1}{3}\right).\frac{4}{5}+\left(\frac{2}{3}+\frac{1}{2}\right):\frac{5}{4}\) \(=\left(\frac{-1}{2}+\frac{1}{3}\right).\frac{4}{5}+\left(\frac{2}{3}+\frac{1}{2}\right).\frac{4}{5}\)
\(=\frac{4}{5}.\left(\frac{-1}{2}+\frac{1}{3}+\frac{2}{3}+\frac{1}{2}\right)\) \(=\frac{4}{5}.\left(\frac{0}{2}+1\right)\) \(=\frac{4}{5}.1=\frac{4}{5}\)
8 tháng 12 2022
a) (1112:4416).(−13+12)(1112:4416).(−13+12) =(1112.1644).(−26+36)=(1112.1644).(−26+36) =13.16=13.16 =118=118
b) (−5)2.(−5)3.1654.(−2)4(−5)2.(−5)3.1654.(−2)4 =(−5)5.2454.(−2)4=(−5)5.2454.(−2)4 =5=
c) 7,5:(−53)+212:(−53)7,5:(−53)+212:(−53) =152.(−35)+52.(−35)=152.(−35)+52.(−35) =−35.(152+52)=−35.(152+52)
=−35.10=−35.10 =−6=−6
d) (−12+13).45+(23+12):54(−12+13).45+(23+12):54 =(−12+13).45+(23+12).45=(−12+13).45+(23+12).45
=45.(−12+13+23+12)=45.(−12+13+23+12) =45.(02+1)=45.(02+1) =45.1=45
TL
3
29 tháng 7 2019
\(\left|2x\right|-\left|-2,5\right|=\left|-7,5\right|\forall x>0\)
\(\Rightarrow2x-2,5=7,5\)
\(\Rightarrow2x=10\)
\(\Rightarrow x=5\)
29 tháng 7 2019
\(|2x|-|-2,5|=|-7,5|\)
\(\Rightarrow|2x|-2=7,5\)
\(\Rightarrow|2x|=10\)
\(\Rightarrow\orbr{\begin{cases}2x=10\\2x=-10\end{cases}\Rightarrow\orbr{\begin{cases}x=5\\x=-5\end{cases}}}\)
\(KL:x\in\left\{\pm5\right\}\)
\(\frac{\left(-7,5\right)^3}{2,5^3}=\left(\frac{-7,5}{2,5}\right)^3\)
\(=\left(-3\right)^3\)
\(=-27\)
\(\frac{\left(-7,5\right)^3}{\left(2,5\right)^3}=\frac{-7,5\cdot\left(-7,5\right)\cdot\left(-7,5\right)}{2,5\cdot2,5\cdot2,5}=-3\cdot\left(-3\right)\cdot\left(-3\right)=\left(-3\right)^3=-27\)