2^10.3^10-2^10.3^9/2^9.3^10
5^12.7^12+9.5^11.7^11
Rút gọn từ từ nha
A=2^10.3^10-2^10.3^9/2^9.3^10
B=5^11.7^12+7^11.5^11/5^12.7^12+9.5^11.7^11
a)2^10.3^10:2^10.3^9/2^9.3^10.
b)5^11.7^12+5^11.7^11/5^12.7^12+9.5^11.7^11
Tìm x biết :
4/x=8/6
3/x-5=-4/x+2
X/-2=-8/x
Rút gọn các phân số
2^4.5^2.11^2.7/2^3.5^3.7^2.11
2^10.3^10-2^10.3^9/2^9.3^10
5^11.7^12+5^12.7^11/5^12.7^12+9.5^11.7^11
1. Tìm x, biết:
a) \(\frac{4}{x}=\frac{8}{6}\). Ta có: \(\frac{8}{6}=\frac{8:2}{6:2}=\frac{4}{3}\Rightarrow x=3\)
b) \(\frac{3}{x-5}=\frac{4}{x+2}\). Ta có: \(5-2=3\)
\(\Rightarrow x=\left(3.5\right)+\left(4.2\right)+3=15+8+3=26\)
c) \(\frac{x}{-2}=\frac{-8}{x}\Rightarrow x=\left(-8\right):\left(-2\right)=4\)
2. Rút gọn
a) \(\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}\Leftrightarrow\frac{2^3.2^1.5^2.11.11.7}{2^3.5^2.5^1.7.7.11}\Leftrightarrow\frac{2^1.11}{5^1.7}=\frac{22}{35}\)
b) Tương tự
c) Tương tự
\(\frac{4}{x}=\frac{8}{6}\Rightarrow x=\frac{4.6}{8}=3\)
\(\frac{3}{x-5}=\frac{-4}{x+2}\Rightarrow3\left(x+2\right)=-4\left(x-5\right)\)
\(\Rightarrow3x+6=-4x+20\)
\(\Rightarrow3x+4x=20-6\)
\(\Rightarrow7x=14\)
\(\Rightarrow x=2\)
\(\frac{x}{-2}=\frac{-8}{x}\Rightarrow x^2=\left(-8\right)\left(-2\right)=16\Rightarrow x=\pm4\)
\(\frac{4}{x}=\frac{8}{6}\)
\(\Rightarrow4\cdot6=x\cdot8\)
\(\Rightarrow x=\frac{4\cdot6}{8}\)
\(\Rightarrow x=3\)
a,(2^10.3^10-2^10.3^9) : (2^9.3^10)
b,(11.3^22.3^7-9^15) : (2.3^14)^2
c,(5^11.7^12+5^11.7^12) : (5^12.7^11+9.5^11.7^11
. ((((^ là mũ)))))🍭
rút gọn:
-11^5.13^7/11^5.13^8
2^10.3^10-2^10.3^9/2^9.3^10
\(\frac{-11^5.13^7}{11^5.13^8}=\frac{\left(-1\right).11^5.13^7}{11^5.13^7.13}=\frac{-1}{13}\)
\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.\left(3^{10}-3^9\right)}{2^9.3^{10}}=\frac{2^9.2.3^9.\left(3-1\right)}{2^9.3.3^9}=\frac{2.2}{3}=\frac{4}{3}\)
a, \(\frac{-11^5.13^7}{11^5.13^8}=\frac{-1}{13}\)
b, \(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9.\left(1-3\right)}{2^9.3^{10}}=\frac{-4}{3}\)
Rút gọn
2^10.3^10-2^10.3^9/2^9.3^10
Bài làm
\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}\)
\(=\frac{2^{10}\left(3^{10}-3^9\right)}{2^9.3^{10}}\)
\(=\frac{2\left[3^9\left(3-1\right)\right]}{3^{10}}\)
\(=\frac{2\left[3^9.2\right]}{3^{10}}\)
\(=\frac{4.3^9}{3^{10}}\)
\(=\frac{4}{3}\)
Vậy giá tị biểu thức là \(\frac{4}{3}\)
Rút gọn:
2 mũ 10.3 mũ 10-2 mũ 10.3 mũ 9/2 mũ 9.3 mũ 10
\(\frac{2^{10}\cdot3^{10}-2^{10}\cdot3^9}{2^9\cdot3^{10}}\)\(=\frac{2^{10}\cdot3^9\left(3-1\right)}{2^9\cdot3^{10}}\)\(=\frac{2\cdot2}{3}=\frac{4}{3}\)
Vậy \(\frac{2^{10}\cdot3^{10}-2^{10}\cdot3^9}{2^9\cdot3^{10}}=\frac{3}{4}\)
2^10.3^10-2^10.3^9/2^9.3^10
2^10.3^10-2^10.3^9/2^9.3^10
=2^10.3^9(3-1)/2^9.3^10
=2^11.3^9/2^9.3^10
=4/3