Rút gọn:
a) \(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}\)
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Ta có:\(\frac{3^{10}\cdot\left(-5\right)\cdot21}{\left(-5\right)^{20}\cdot3^{12}}\)
\(=\frac{3^{10}\cdot\left(-5\right)\cdot21}{\left(-5\right)^{19}\cdot\left(-5\right)\cdot3^{12}}\)
\(=\frac{3\cdot7}{\left(-5\right)^{19}\cdot3^2}\)
\(=\frac{7}{\left(-5\right)^{19}\cdot3}\)
\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{3^{10}.\left(-5\right)^{20}.\left(-5\right)}{\left(-5\right)^{20}.3^{10}.3^2}=\frac{-5}{3^2}=-\frac{5}{9}\)
\(\frac{3^{10}.\left(-5\right)^{20}.\left(-5\right)}{3^{10}.3^2.\left(-5\right)^{20}}=\frac{-5}{3^2}=\frac{-5}{9}\)
T I C K cho mình nha cảm ơn chúc bạn học tốt nha
\(=\frac{3^{10}.\left(-5\right)^{20}.\left(-5\right)^1}{\left(-5\right)^{20}.3^{10}.3^2}\)\(=\frac{\left(-5\right)^1}{3^2}\)\(=\frac{-5}{9}\)
Hok tốt !
\(\frac{3^{10}.\left(-5\right)^{20}.\left(-5\right)^1}{\left(-5\right)^{20}.3^{10}.3^2}=\frac{-5}{3^2}=\frac{-5}{9}\)
a: \(A=3-\left|3-x\right|\)
=3-|x-3|
TH1: x>=3
=>x-3>=0
A=3-|x-3|
=3-(x-3)
=3-x+3
=6-x
TH2: x<3
=>x-3<0
A=3-|x-3|
=3-(3-x)
=3-3+x
=x
b: \(B=\left|x-6\right|+\left|6-x\right|-2\)
=2|x-6|-2
TH1: x>=6
=>x-6>=0
B=2|x-6|-2
=2(x-6)-2
=2x-12-2
=2x-14
TH2: x<6
=>x-6<0
B=2|x-6|-2
=2(6-x)-2
=12-2x-2
=10-2x
c: \(C=\left|-x-1\right|+\left|-x-5\right|-x\)
\(=\left|x+5\right|+\left|x+1\right|-x\)
TH1: x<-5
=>x+5<0; x+1<0
\(C=\left|x+5\right|+\left|x+1\right|-x\)
=-x-5-x-1-x
=-3x-6
TH2: -5<=x<-1
=>x+5>=0; x+1<0
\(C=\left|x+5\right|+\left|x+1\right|-x\)
=x+5-x-1-x
=-x+4
TH3: x>=-1
=>x+5>0; x+1>=0
\(C=\left|x+5\right|+\left|x+1\right|-x\)
=x+5+x+1-x
=x+6
a: \(A=3-\left|3-x\right|\)
=3-|x-3|
TH1: x>=3
=>x-3>=0
A=3-|x-3|
=3-(x-3)
=3-x+3
=6-x
TH2: x<3
=>x-3<0
A=3-|x-3|
=3-(3-x)
=3-3+x
=x
b: \(B=\left|x-6\right|+\left|6-x\right|-2\)
=2|x-6|-2
TH1: x>=6
=>x-6>=0
B=2|x-6|-2
=2(x-6)-2
=2x-12-2
=2x-14
TH2: x<6
=>x-6<0
B=2|x-6|-2
=2(6-x)-2
=12-2x-2
=10-2x
c: \(C=\left|-x-1\right|+\left|-x-5\right|-x\)
\(=\left|x+5\right|+\left|x+1\right|-x\)
TH1: x<-5
=>x+5<0; x+1<0
\(C=\left|x+5\right|+\left|x+1\right|-x\)
=-x-5-x-1-x
=-3x-6
TH2: -5<=x<-1
=>x+5>=0; x+1<0
\(C=\left|x+5\right|+\left|x+1\right|-x\)
=x+5-x-1-x
=-x+4
TH3: x>=-1
=>x+5>0; x+1>=0
\(C=\left|x+5\right|+\left|x+1\right|-x\)
=x+5+x+1-x
=x+6
\(\frac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\frac{3^{10}.\left(-5\right)^{20}.\left(-5\right)}{\left(-5\right)^{20}.3^{10}.3^2}=\frac{-5}{3^2}=\frac{-5}{9}\)
tinh di roi rut gon phan so