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
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)))))🍭
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
\(\frac{4}{x}=\frac{8}{6}\Rightarrow x=\frac{4.6}{8}=3\)
\(\frac{3}{x-5}=\frac{-4}{x+2}\Rightarrow3\left(x+2\right)=-4\left(x-5\right)\)
\(\Rightarrow3x+6=-4x+20\)
\(\Rightarrow3x+4x=20-6\)
\(\Rightarrow7x=14\)
\(\Rightarrow x=2\)
\(\frac{x}{-2}=\frac{-8}{x}\Rightarrow x^2=\left(-8\right)\left(-2\right)=16\Rightarrow x=\pm4\)
\(\frac{4}{x}=\frac{8}{6}\)
\(\Rightarrow4\cdot6=x\cdot8\)
\(\Rightarrow x=\frac{4\cdot6}{8}\)
\(\Rightarrow x=3\)
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 ) Tử số : 2^10 . 3^10 - 2^10 . 3^9
= 2^10 . 3^9 ( 3 - 1 )
= 2^10 . 3^9 . 2 = 2^11 . 3^9
=> Phân số : 2^11 . 3^9 /2^9 . 3^10 = 4/3
b ) 5^12 . 7^12 + 9 . 5^11 . 7^11
= 5^11 . 7^11 ( 5 . 7 + 9 )
=5^11 . 7^11 . 44
5^11.7^12+7^11.5^11/5^12.7^12+9.5^11.7^11 =?
\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(5.7+9\right)}=\frac{8}{44}=\frac{2}{11}\)
5^11.7^12+7^11.5^11/5^12.7^12+9.5^11.7^11
bài 1 tính
5.4^12.9^9-4.3^20.8^9/5.2^2^29.9^16-7.2^29.27^6/5^11.7^12+5^11.7^11/5^12.7^12+9.5^15.7^11
5^11.7^12+5^11.7^11/5^12.7^11+9.5^11.7^11
\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(5.7+9\right)}=\frac{8}{44}=\frac{2}{11}\)
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, \(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9.\left(1-3\right)}{2^9.3^{10}}=\frac{-4}{3}\)