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=(441.14.125):42875.6=(6174.125):42875.6=771750:42875.6=18.6=108
A = \(\dfrac{21^2.14.125}{35^5.6}\)
= \(\dfrac{\left(3.7\right)^2.\left(2.7\right).5^3}{\left(5.7\right)^5.\left(2.3\right)}\)
= \(\dfrac{3^2.7^2.2.7.5^3}{5^5.7^5.2.3}\)
= \(\dfrac{3^2.7^3.2.5^3}{5^5.7^5.2.3}\)
= \(\dfrac{3}{5^2.7^2}\)
= \(\dfrac{3}{35^2}\)
@Pham Thi Thu Trang
B = \(\dfrac{2^{10}.13+2^{10}.65}{2^8.104}\)
= \(\dfrac{2^{10}\left(13+65\right)}{2^8.104}\)
= \(\dfrac{2.78}{104}\)
= \(\dfrac{3}{2}\)
@Pham Thi Thu Trang
e, \(E=\dfrac{4^6.3^4.9^5}{6^{12}}=\dfrac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{2^{12}.3^{12}}\)
\(=\dfrac{3^4.3^{10}}{3^{12}}=3^2=9\)
f, \(F=\dfrac{2^{13}+2^5}{2^{10}+2^2}=\dfrac{2^5.\left(2^8+1\right)}{2^2.\left(2^8+1\right)}=2^3=8\)
g, \(G=\dfrac{21^2.141.125}{35^{5.6}}=\dfrac{3^2.7^2.47.3.5^3}{5^{30}.7^{30}}\)
\(=\dfrac{3^3.47}{5^{27}.7^{28}}\)(bạn xem lại đề nha)
Các câu còn lại làm tương tự! Chúc bạn học tốt!!!
\(\frac{21^2.14.125}{35^3.6}\)
\(=\frac{7^2.3^2.2.7.5^3}{7^3.5^3.2.3}\)
\(=\frac{7^3.3^2.2.5^3}{7^3.5^3.2.3}\)
\(=3\)
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