\(\left(45900-45900.10:100-41310000:1000\right):25.59.4\)
(45900 - 45900 x10 :100 -4130000 :100 ) :25 x 59 x 4
\(\left(1000-1^{ }3\right).\left(1000-2^{ }3\right).\left(1000-3^{ }3\right)....\left(1000-25^{ }3\right)\)
\(^{\left(-1\right)^2.\left(-1\right)^{ }3.\left(-1\right)^{ }4.......\left(-1\right)^{ }100}\)
ai trả lời nhanh nhất mk sẽ k cho 3 lần
\(\frac{\left(1+\frac{2012}{1}\right)\left(1+\frac{2012}{2}\right).......\left(1+\frac{2012}{100}\right)}{\left(1+\frac{1000}{1}\right)\left(1+\frac{1000}{2}\right).....\left(1+\frac{1000}{2012}\right)}\)
\(2009^{\left(1000-1^3\right)\cdot\left(100-2^3\right)\cdot...\left(1000-15^3\right)}\)
mik dang can gap
\(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-15^3\right)}\)
= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-10^3\right)..\left(1000-15^3\right)}\)
= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-1000\right)..\left(1000-15^3\right)}\)
= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...0..\left(1000-15^3\right)}\)
= \(2009^0\)
= \(1\)
tính giá trị biểu thức:
A= \(\frac{x^2\left(x^2+2y\right)\left(x^2-2y\right)\left(x^8+2y^8\right)}{x^{16}+2y^{16}}\) với x=4 và y=8
B= \(\frac{\left(a^{10}+b^{10}\right)\left(a^{100}+b^{100}\right)\left(3a^2+b\right)\left(a^{1000}+b^{1000}\right)}{a^{2012}+b^{2012}}\) tại a=-2, b=-12
tính nhanh:
\(\frac{\left(100x44x50x64\right)x\left(37414,8:1000+2242,52:100\right)}{16x14,96x25x\left(27x38+19x146\right)}\)
Tính nhanh:
\(\frac{\left(100x44+50x64\right)x\left(37414,8:1000+2242.52:100\right)}{16x14,96x25x\left(27x38+19x146\right)}\)
Tìm x thỏa mãn:
\(\left(x-99\right)^{1000}+\left(x-100\right)^{2000}=1\)
\(\left(x-99\right)^{1000}+\left(x-100\right)^{2000}=1\)
+) Với \(x=99\)\(;\)\(x=100\) thì \(VT=1\) hay \(x=99\)\(;\)\(x=100\) là nghiệm của pt
+) Với \(x< 99\) thì \(\left(x-99\right)^{1000}>0\)\(;\)\(\left(x-100\right)^{2000}>1\)
\(\Rightarrow\)\(\left(x-99\right)^{1000}+\left(x-100\right)^{2000}>1\) ( pt vô nghiệm )
+) Với \(x>100\) thì \(\left(x-99\right)^{1000}>1\)\(;\)\(\left(x-100\right)^{2000}>0\)
\(\Rightarrow\)\(\left(x-99\right)^{1000}+\left(x-100\right)^{2000}>1\) ( pt vô nghiệm )
+) Với \(99< x< 100\) thì \(0< x-99< 1\)\(;\)\(-1< x-100< 0\)
\(\Rightarrow\)\(\left(x-99\right)^{1000}< \left|x-99\right|=x-99\)\(;\)\(\left(x-100\right)^{2000}< \left|x-100\right|=100-x\)
\(\Rightarrow\)\(\left(x-99\right)^{1000}+\left(x-100\right)^{2000}< x-99+100-x=1\) ( pt vô nghiệm )
Vậy nghiệm của phương trình là \(x=99\) hoặc \(x=100\)
Chúc bạn học tốt ~
\(\left\{{}\begin{matrix}x+y=1000\\\dfrac{15}{100}x+\dfrac{17}{100}y=1162\end{matrix}\right.\)
\(\left\{{}\begin{matrix}x+y=1000\\\dfrac{15}{100}x+\dfrac{17}{100}y=1162\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}\dfrac{15}{100}x+\dfrac{15}{100}y=150\\\dfrac{15}{100}x+\dfrac{17}{100}y=1162\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}-\dfrac{2}{100}y=150-1162=-1012\\x+y=1000\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}y=50600\\x=1000-50600=-49600\end{matrix}\right.\)