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\(F=\frac{\left(\frac{2}{5}\right)^7.5^7+\left(\frac{9}{4}\right)^9\div\left(\frac{3}{16}\right)^3}{2^7.5^2+512}\)
\(F=\frac{\left(\frac{2.5}{5}\right)^7+\left(\frac{9.16}{4.3}\right)^3}{2^7.5^2+2^9}=\frac{2^7+12^3}{2^7.5^2+2^9}=\frac{2^7+2^6.3^3}{2^7.5^2+2^9}=\frac{2^6.\left(2+3^3\right)}{2^7.\left(5^2+2^2\right)}=\frac{2^6.29}{2^7.29}\)
\(F=\frac{1}{2}\)
\(A=\)\(\frac{6}{7}+\frac{1}{7}\times\frac{2}{7}+\frac{1}{7}\times\frac{5}{7}=\frac{6}{7}+\frac{1}{7}\left(\frac{2}{7}+\frac{5}{7}\right)\)
\(=\frac{6}{7}+\frac{1}{7}\times1\)
\(=\frac{6}{7}+\frac{1}{7}\)
\(=1\)
Cách 1: \(B=\frac{4}{9}\times\frac{13}{3}-\frac{4}{3}\times\frac{40}{9}\)
\(=\frac{52}{27}-\frac{160}{27}\)
\(=-4\)
K cho mk nhé thks bn nhiều
~CHÚC BẠN HỌC TỐT~
\(A=\dfrac{6}{7}+\dfrac{1}{7}\cdot\dfrac{2}{7}+\dfrac{1}{7}\cdot\dfrac{5}{7}\\ =\dfrac{6}{7}+\dfrac{1}{7}\cdot\left(\dfrac{2}{7}+\dfrac{5}{7}\right)\\ =\dfrac{6}{7}+\dfrac{1}{7}\cdot1\\ =\dfrac{6}{7}+\dfrac{1}{7}\\ =1\\\)
\(-\dfrac{3}{7}.\dfrac{5}{9}+\dfrac{4}{9}.\dfrac{-3}{7}+2\dfrac{3}{7}\)
\(=-\dfrac{3}{7}.\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+2\dfrac{3}{7}=-\dfrac{3}{7}+2\dfrac{3}{7}=2\)
Chúc bạn học tốt!!!
\(-\dfrac{3}{7}.\dfrac{5}{9}+\dfrac{4}{9}.\dfrac{-3}{7}+2\dfrac{3}{7}\)
\(=\dfrac{-3}{7}\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+2\dfrac{3}{7}\)
\(=\dfrac{-3}{7}.1+2\dfrac{3}{7}=2\)
Bài 1: Tìm số đối.
- Số đối của \(\dfrac{1}{2}\) là \(-\dfrac{1}{2}\)
- Số đối của \(-\dfrac{3}{4}\) là \(\dfrac{3}{4}\)
- Số đối của \(\dfrac{7}{-12}\) là \(\dfrac{7}{12}\)
Bài 2: Thu gọn:
\(\dfrac{2^4.3^3-2^4.3^3}{2^5.3^4-2^6.3^3}=\dfrac{0}{2^5.3^4-2^6.3^3}=0\)
\(\dfrac{\left(\dfrac{2}{7}\right)^7.7^7+\left(\dfrac{9}{4}\right)^3:\left(\dfrac{3}{16}\right)^3}{2^7.5^2+512}\)
\(=\dfrac{\dfrac{2^7}{7^7}.7^7+\left(\dfrac{9}{4}:\dfrac{3}{16}\right)^3}{2^7.5^2+2.256}\)
\(=\dfrac{2^7+\left(\dfrac{9}{4}.\dfrac{16}{3}\right)^3}{2^7.5^2+2.2^8}=\dfrac{2^7+\left(12\right)^3}{2^7.5^2+2.2^8}\)
\(=\dfrac{2^7+\left(2^2.3\right)^3}{2^7.5^2+2^9}=\dfrac{2^7+2^6.3^3}{2^7.\left(5^2+2^2\right)}\)
\(=\dfrac{2^6\left(2+27\right)}{2^7.\left(25+4\right)}=\dfrac{29}{2.29}=\dfrac{1}{2}\)
a) \(\frac{8}{40}+\frac{-14}{35}-\frac{12}{60}\)
= \(\frac{1}{5}-\frac{2}{5}-\frac{1}{5}\)
= \(\left(\frac{1}{5}-\frac{1}{5}\right)-\frac{2}{5}\)
= \(-\frac{2}{5}\)
b) 5/7.5/11 + 5/7.5/11 - 5/7.14/11
= 5/7.(5/11 + 5/11 - 14/11)
= 5/7.(-4/11)
= -20/77
c) \(19\frac{5}{8}:\frac{7}{12}-15\frac{1}{4}:\frac{7}{12}\)
= \(\left(19\frac{5}{8}-15\frac{1}{4}\right):\frac{7}{12}\)
= \(\frac{35}{8}:\frac{7}{12}\)
= \(\frac{15}{2}\)
d) 2/5.1/3 - 2/15 : 1/5 + 3/5.1/3
= (2/5 + 3/5).1/3 - 2/15 . 5
= 1.1/3 - 2/3
= 1/3 - 2/3
= -1/3
e) \(\frac{4}{9}.19\frac{1}{3}-\frac{4}{9}.39\frac{1}{3}\)
= \(\frac{4}{9}.\left(19\frac{1}{3}-39\frac{1}{3}\right)\)
= \(\frac{4}{9}.\left(-20\right)\)
= \(\frac{-80}{9}\)
g) \(\frac{81.17-15.81}{81.17-81.15}\)
= 1