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\(a,\)\(\frac{2^5\times3^{12}\times7^8}{2^7\times3^{10}\times7^9}=\frac{3^2\times\left(2^5\times3^{10}\times7^8\right)}{2^2\times7\times\left(2^5\times3^{10}\times7^8\right)}\)\(=\frac{3^2}{2^2\times7}=\frac{9}{28}\)
\(b,\)Tương tự
1. \(\frac{9}{30}=\frac{3}{10};\frac{98}{80}=\frac{49}{40};\frac{15}{1000}=\frac{3}{200}\)
Vì \(200⋮10;200⋮40\)
=> BCNN(10; 40; 200) = 200
200 : 10 = 20
200 : 40 = 5
=> \(\frac{3}{10}=\frac{3\cdot20}{10\cdot20}=\frac{60}{200}\), \(\frac{49}{40}=\frac{49\cdot5}{40\cdot5}=\frac{245}{200}\)
Câu a:
\(\frac{2^{12}.3^5-4^6.9^2}{12^6+8^4.3^5}\)
= \(\frac{2^{12}.3^5-2^{12.3^6}}{2^{12}.3^6+2^{12}.3^5}\)
= \(\frac{2^{12}.3^4.\left(3-1\right)}{2^{12}.3^5.\left(3+1\right)}\)
= \(\frac{2}{3.4}\)
= \(\frac16\)
Câu b:
\(\frac{5^{10}.7^3-25^5.49^2}{\left(125.7\right)^3+5^9.14^3}\)
= \(\frac{5^{10}.7^3-5^{10}.7^4}{5^9.7^3+5^9.2^3.7^3}\)
= \(\frac{5^{10}.7^3.\left(1-7\right)}{5^9.7^3.\left(1+8\right)}\)
= \(\frac{5.\left(-6\right)}{9}\)
=- 10/3
a, \(\frac{3.7-3.5}{5+12}=\frac{3.\left(7-5\right)}{17}\)
\(=\frac{3.2}{17}\)
\(=\frac{6}{17}\)
b, \(\frac{9.6-9.3}{27}=\frac{9.\left(6-3\right)}{27}\)
\(=\frac{9.3}{27}\)
\(=\frac{27}{27}=1\)
nha
\(\frac{3.7-3.5}{6+12}\)=\(\frac{3.\left(7-5\right)}{3.\left(2+4\right)}\)=\(\frac{2}{6}\)=\(\frac{1}{2}\)
\(\frac{9.6-9.3}{27}=\)\(\frac{9.3}{9.3}\)=1