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\(\frac{\left(\frac{2}{3}\right)^3\cdot\left(-\frac{3}{4}\right)^2\cdot\left(-1\right)^5}{\left(\frac{2}{5}\right)^2\cdot\left(-\frac{5}{12}\right)^3}\)
\(=\frac{\frac{2^3}{3^3}\cdot\frac{3^2}{4^2}\cdot\left(-1\right)}{\frac{2^2}{5^2}\cdot\frac{\left(-5\right)^3}{12^3}}\)
\(=\frac{\frac{8}{27}\cdot\frac{9}{16}\cdot\left(-1\right)}{\frac{4}{25}\cdot\frac{-125}{1728}}=\frac{-\frac{1}{6}}{-\frac{5}{432}}=\left(-\frac{1}{6}\right)\cdot\left(-\frac{432}{5}\right)=\frac{72}{5}\)
a) 125 x 25 x 64
= ( 25 x 64 ) x 125
= 1600 x 125
= 200 000
b) 125 x 25 x 12 x 14
= ( 125 x 12 ) x ( 25 x 14 )
= 1500 x 350
= 525000
c) 1300 : 50 = 26
d) 700 : 25 = 28
a, = 125 x (25x64)=125 x 1600= 200 000
b, = (125 x 24) x ( 25 x 12) = 3000 x 300 = 900 000
c, 1300 : 50 = 26
d, 700 : 25 = 28.
\(\frac{7x-8}{2x-3}\)đạt GTLN khi 2x - 3 = 1 => x = 2 và GTLN = 6
\(\frac{17}{2}-\left|2x-\frac{5}{2}\right|=-\frac{7}{6}\)
\(\left|2x-\frac{5}{2}\right|=\frac{17}{2}-\frac{-7}{6}\)
\(\left|2x-\frac{5}{2}\right|=\frac{51}{6}+\frac{7}{6}\)
\(\left|2x-\frac{5}{2}\right|=\frac{29}{3}\)
\(2x-\frac{5}{2}=\frac{29}{3}\)hoặc \(2x-\frac{5}{2}=\frac{-29}{3}\)
Trường hợp 1:
\(2x-\frac{5}{2}=\frac{29}{3}\)
\(2x=\frac{29}{3}+\frac{5}{2}\)
\(2x=\frac{73}{6}\)
\(x=\frac{73}{6}:2\)
\(x=\frac{73}{12}\)
Trường hợp 2:
\(2x-\frac{5}{2}=\frac{-29}{3}\)
\(2x=\frac{-29}{3}+\frac{5}{2}\)
\(2x=\frac{-43}{6}\)
\(x=\frac{-43}{6}:2\)
\(x=\frac{-43}{12}\)
Vậy \(x=\frac{73}{12}\)hoặc \(x=\frac{-43}{12}\)
\(\dfrac{1}{8} \times \dfrac{12}{5}\)
\(=\dfrac{1 \times 3 \times 4}{4 \times 2 \times 5}\)
\(=\dfrac{1 \times 3}{2 \times 5}=\dfrac{3}{10}\)
Tính:
\(\dfrac{1}{8}.\dfrac{12}{5}=\dfrac{1.12}{8.5}=\dfrac{12}{40}=\dfrac{3}{10}.\)