tính
B= (-0,4)5 . (-0,4)9 : [(-0,4)3]5
0,7. (1/9 + 1/3 - 1) + (0,4)^5 . (5/2)^5
tính hợp lí
Tính bằng cách thuận tiện nhất :
9,65 x 0,4 x 2,5 7,38 x 1,25 x 80
0,25 x 40 x 9 ,84 34,3 x 5 x 0,4
Tham Khảo:
https://olm.vn/hoi-dap/detail/62824771750.html
+) 9,65 x 0,4 x 2,5
= 9,65 x ( 0,4 x 2,5 )
= 9,65 x 1
= 9,65
+) 7,38 x 1,25 x 80
= 7,38 x (1,25 x 80)
= 7,38 x 100
= 738
+) 0,25 x 40 x 9,84
= 10 x 9,84
= 98,4
+) 34,3 x 5 x 0,4
= 34,3 x 2
= 68,6
9,65 x 0,4 x 2,5
= 9,65 x 1
= 9,65
7,38 x 1,25 x 80
= 7,38 x 100
= 738
0,25 x 40 x 9,84
= 9,84 x 10
= 98,4
34,3 x 5 x 0,4
= 34,3 x 2
= 68,6
Tìm x,y thoả mãn :\
( 3x-5/9)^2018 + ( 3y+0,4/3)^2020 = 0
\(\left(\dfrac{3x-5}{9}\right)^{2018}>=0\forall x\)
\(\left(\dfrac{3y+0,4}{3}\right)^{2020}>=0\forall y\)
Do đó: \(\left(\dfrac{3x-5}{9}\right)^{2018}+\left(\dfrac{3y+0,4}{3}\right)^{2020}>=0\forall x,y\)
Dấu '=' xảy ra khi \(\left\{{}\begin{matrix}\dfrac{3x-5}{9}=0\\\dfrac{3y+0,4}{3}=0\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}3x-5=0\\3y+0,4=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{5}{3}\\y=-\dfrac{0.4}{3}=-\dfrac{2}{15}\end{matrix}\right.\)
a)(2x-3)6=(2x-3)8
b) (2x-1)2k+(y-1/3)2k=0(k thuộc N)
c) (3x-5/9)2002+(3y+0,4/3)2004=0(3x-5 tất cả phần 9; 3y+0,4 tất cả phần 3)
Tìm x, y
D=[(0,4-2/9+2/11)/(1,4-7/9-7/11)] - [(1/3-0,25+1/5)/(1/6-0,875+0,7)]
tìm x,y
(3x-5/9)^2002+(3y+0,4/3)^2004=0
\(\left(3x-\frac{5}{9}\right)^{2002}+\left(3y+\frac{0,4}{3}\right)^{2004}=0\)
Ta thấy \(\left(3x-\frac{5}{9}\right)^{2002}\ge0\text{ với mọi x}\\ \left(3y+\frac{0,4}{3}\right)^{2004}\ge0\text{ với mọi y}\)
Mà \(\left(3x-\frac{5}{9}\right)^{2002}+\left(3y+\frac{0,4}{3}\right)^{2004}=0\)
\(\Rightarrow\left\{{}\begin{matrix}\left(3x-\frac{5}{9}\right)^{2002}=0\\\left(3y+\frac{0,4}{3}\right)^{2004}=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}3x-\frac{5}{9}=0\\3y+\frac{0,4}{3}=0\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}3x=\frac{5}{9}\\3y=\frac{-0,4}{3}\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\frac{\frac{5}{9}}{3}\\y=\frac{\frac{-0,4}{3}}{3}\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}x=\frac{5}{27}\\y=\frac{-2}{45}\end{matrix}\right.\)
Vậy \(\left(x;y\right)=\left(\frac{5}{27};\frac{-2}{45}\right)\)
\(\left(3x-\frac{5}{9}\right)^{2002}+\left(3y+\frac{0,4}{4}\right)^{2004}=0\)
Ta có: \(\left\{{}\begin{matrix}\left(3x-\frac{5}{9}\right)^{2002}\ge0;\forall x,y\\\left(3y+\frac{0,4}{3}\right)^{2004}\ge0;\forall x,y\end{matrix}\right.\)\(\Rightarrow\left(3x-\frac{5}{9}\right)^{2002}+\left(3y+\frac{0,4}{4}\right)^{2004}\ge0;\forall x,y\)
Do đó \(\left(3x-\frac{5}{9}\right)^{2002}+\left(3y+\frac{0,4}{4}\right)^{2004}=0\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(3x-\frac{5}{9}\right)^{2002}=0\\\left(3y+\frac{0,4}{3}\right)^{2004}=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}3x-\frac{5}{9}=0\\3y+\frac{0,4}{3}=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=\frac{5}{27}\\y=\frac{-2}{45}\end{matrix}\right.\)
Vậy ...
0,4 - \(\dfrac{3}{4}\) . \(\dfrac{-5}{9}\)
Có:
\(0,4-\dfrac{3}{4}.\dfrac{-5}{9}\)
\(=\dfrac{2}{5}-\dfrac{3}{4}.\dfrac{-5}{9}\)
\(=\dfrac{2}{5}-\dfrac{-5}{12}\)
\(=\dfrac{2}{5}+\dfrac{5}{12}=\dfrac{49}{60}\)
Chúc bạn học tốt!
\(0,4-\dfrac{3}{4}.\dfrac{-5}{9}=\dfrac{2}{5}-\dfrac{-5}{12}=\dfrac{2}{5}+\dfrac{5}{12}=\dfrac{24}{60}+\dfrac{25}{60}=\dfrac{49}{60}\)
Mấy cái này dễ lắm nên lần sau bạn tự làm đi nha
\(0,4-\dfrac{3}{4}.\dfrac{-5}{9}=\dfrac{2}{5}+\dfrac{5}{12}=\dfrac{49}{60}\)
Cái này bạn dùng máy tính là ra mà.
Chúc bạn học tốt!!!
b) (0,8) mũ 5 / (0,4) mũ 6
c) 2 mũ 15 . 9 mũ 4 / 6 mũ 6 . 8 mũ 3
b) \(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
\(=\dfrac{\left(0,8\right)^5}{\left(0.4\right)^5\cdot0,4}\)
\(=\left(\dfrac{0,8}{0,4}\right)^5\cdot\dfrac{1}{0,4}\)
\(=2^5\cdot\dfrac{5}{2}\)
\(=\dfrac{2^5\cdot5}{2}\)
\(=2^4\cdot5\)
\(=80\)
c) \(\dfrac{2^{15}\cdot9^4}{6^6\cdot8^3}\)
\(=\dfrac{2^{15}\cdot\left(3^2\right)^4}{2^6\cdot3^6\cdot\left(2^3\right)^3}\)
\(=\dfrac{2^{15}\cdot3^8}{2^{15}\cdot3^6}\)
\(=\dfrac{3^2}{1}\)
\(=9\)
c) 2^15.9^466.83=2^15.3^8/2^6.3^6.2^9=3^2/1=9
dấu này / là phần nha
Tính (tính nhanh nếu có thể):
a) -2/9 +8/15 + 1và2/3 - 7/9 + -7/-15
b) 5/7 + 2/7 : 0,25 - 0,4