\(x^{n^{ }}:y^{n^{ }}\)\(\)=\(\frac{x^n}{y^n}\)=\(\frac{x\cdot x\cdot x\cdot\cdot\cdot\cdot\cdot\cdot x}{y\cdot y\cdot y\cdot y........y}\)=\(\frac{x}{y}\cdot\frac{x}{y}\cdot\frac{x}{y}\cdot\cdot\cdot\cdot\cdot\cdot\cdot\cdot\cdot\cdot\frac{x}{y}\)=bao nhiêu viết tiếp cho mình nha!
Những câu hỏi liên quan
cho x,y,z thỏa mãn \(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0\)
\(M=\frac{x^2\cdot y^2.z^2}{x^2\cdot y^2+y^2\cdot z^2-x^2\cdot z^2}+\frac{x^2\cdot y^2\cdot z^2}{y^2\cdot z^2+x^2.z^2-x^2\cdot y^2}+\frac{x^2\cdot y^2\cdot z^2}{x^2.y^2+x^2\cdot z^2-y^2\cdot z^2}\)
1) Cho\(A=\frac{5\cdot x-4}{2\cdot x+5}-\frac{3\cdot y-3\cdot x}{2\cdot y-5}và3\cdot x-y=5\).Tính A
Bài 1: Tìm x,y:
\(\frac{2\cdot x+1}{5}=\frac{3\cdot y-2}{7}=\frac{2\cdot x+3\cdot y-1}{6\cdot x}\)
Tìm Đa Thức M,N
a, \(3\cdot X^2\cdot y+M-X\cdot Y=10\cdot X^2\cdot Y-2\cdot X\cdot Y\)
b, \(\left(6\cdot X\cdot Y-5\cdot Y^2\right)-N=X^2-2\cdot X\cdot Y+4\cdot Y^2\)
a, 3.x2.y + M - x.y=10x2y - 2xy
(3 x2y-xy) +M= 10x2y -2xy
M=10x2y-2xy+( 3x2y -xy)
M=(10x2y+3x2y)-(2xy+xy)
M=13 x2y-3xy
b,(6xy-5y2)-N=x2-2xy+4 y2
N= 6xy -5y2-( x2-2xy+4y2)
N= 6xy -5y2-x2 +2xy -4y2
N= (6xy +2xy)- (5y2+4y2)-x2
N= 8xy -9y2-x2
hok tốt
boy with luv
kt
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giải hệ phương trình :
a) \(\hept{\begin{cases}x\cdot\left(1+y-x\right)=-2\cdot y^2-y\\x\cdot\left(\sqrt{2\cdot y}-2\right)=y\cdot\left(\sqrt{x-1}-2\right)\end{cases}}\)
b) \(\hept{\begin{cases}1+x\cdot y+\sqrt{x\cdot y}=x\\\frac{1}{x\cdot\sqrt{x}}+y\cdot\sqrt{y}=\frac{1}{\sqrt{x}}+3\cdot\sqrt{y}\end{cases}}\)
Làm hộ mk nhé mk tick cho :))))))))))
Cho x,y,x là các số thỏa mãn xyz=2016
CMR: \(\frac{2016\cdot x}{x\cdot y+2016\cdot x+2016}+\frac{y}{y\cdot z+y+2016}+\frac{z}{x\cdot z+z+1}=1\)
\(\frac{2016.x}{xy+2016x+2016}+\frac{y}{yz+y+2016}+\frac{z}{xz+z+1}\)= \(\frac{2016x}{xy+2016x+1}+\frac{xy}{xyz+xy+2016x}+\frac{xyz}{xxyz+xyz+xy}\) = \(\frac{2016x}{xy+2016x+xyz}+\frac{xy}{xyz+xy+2016x}+\frac{xyz}{2016x+xyz+xy}\)
=\(\frac{2016x+xy+xyz}{2016x+xy+xyz}=1\)
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Tính tổng:
\(S=\frac{x+1}{x\cdot\left(x-y\right)\cdot\left(x-z\right)}+\frac{y+1}{y\cdot\left(y-z\right)\cdot\left(y-x\right)}+\frac{z+1}{z\cdot\left(z-x\right)\left(z-y\right)}\)
\(S=\frac{yz\left(x+1\right)\left(y-z\right)-zx\left(y+1\right)\left(x-z\right)+xy\left(z+1\right)\left(x-y\right)}{xyz\left(x-y\right)\left(y-z\right)\left(x-z\right)}\)
+ \(yz\left(x+1\right)\left(y-z\right)-zx\left(y+1\right)\left(x-z\right)+xy\left(z+1\right)\left(x-y\right)\)
\(=yz\left(x+1\right)\left(y-z\right)-zx\left(y+1\right)\left[\left(y-z\right)+\left(x-y\right)\right]\)
\(+xy\left(z+1\right)\left(x-y\right)\)
\(=\left(y-z\right)\left[yz\left(x+1\right)-zx\left(y+1\right)\right]+\left(x-y\right)\left[xy\left(z+1\right)-zx\left(y+1\right)\right]\)
\(=\left(y-z\right)\left[z\left(y-x\right)\right]+\left(x-y\right)\cdot x\cdot\left(y-z\right)\)
\(=\left(x-y\right)\left(y-z\right)\left(x-z\right)\)
\(\Rightarrow S=\frac{1}{xyz}\)
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a) Chứng minh biểu thức sau không phụ thuộc vào x:
\(\left(\frac{5\cdot a+b}{5\cdot a^2-a\cdot b}+\frac{5\cdot a-b}{5\cdot a^2-a\cdot b}\right)\div\frac{100\cdot a^2+4\cdot b^2}{25\cdot a^3-a\cdot b^2}\)
b) Tìm x; y sao cho \(x^3+y^3=3\cdot x\cdot y-1\)
cho:\(y=\frac{b\cdot z-c\cdot y}{a}=\frac{c\cdot x-a\cdot z}{b}=\frac{a\cdot y-b\cdot x}{c}.CMR\frac{x}{a}=\frac{y}{b}=\frac{z}{c}\)
đố ai làm được bài toán này trong vong nhanh nhất
Ta có: [(b.z- c.y)/a] = [(c.x-a.z)/b] = [(a.y- b.x)/c]
=>[(a.b.z- c.a.y)/a2] = [(c.b.x- a.b.z)/b2] = [(a.y.c - b.c.x)/c2]
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tự làm tiếp
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