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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!!!
=(441.14.125):42875.6=(6174.125):42875.6=771750:42875.6=18.6=108
Câu b:
B = (3\(^{10}\).11 + 3\(^{10}\).5) : (3\(^9\).2\(^4\))
B = 3\(^{10}\).(11 + 5): (3\(^9\).2\(^4\))
B = 3\(^{10}\).16:(3\(^9\).2\(^4\))
B = (3\(^{10}\) : 3\(^9\)).(16 : 2\(^4\))
B = 3.1
B = 3
Câu c:
C = (2\(^{10}\).13 + 2\(^{10}\).65) : (2\(^8\).104)
C = 2\(^{10}\).(13 + 65):(2\(^8\).104)
C = 2\(^{10}\).78 : (2\(^8\).104)
C = (2\(^{10}\) : 2\(^8\)).(78 : 104)
C = 2\(^2\).\(\frac34\)
C = 3