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\(\frac{2^{12}.243-4^6.9^2}{\left(2^2.3\right)^6+8^4.3^5}\)
\(=\frac{2^{12}.3^5-2^{12}.3^4}{2^{12}.3^6+2^{12}.3^5}\)
\(=\frac{2^{12}.3^4.\left(3-1\right)}{2^{12}.3^5.\left(3-1\right)}\)
\(=\frac{1}{3}\)
HT
\(\frac{5}{3}+-\frac{2}{7}-\left(-\frac{1}{2}\right)=\frac{29}{21}-\left(-\frac{1}{2}\right)=\frac{79}{42}\)
b . tương tự
giúp tớ nhé
tớ bị trừ 590 điểm
cảm ơn trước
\(\dfrac{4^5.21+4^5.19}{2^{10}.11+2^{10}.5}=\dfrac{4^5.\left(21+19\right)}{2^{10}.\left(11+5\right)}=\dfrac{4^5.30}{2^{10}.16}\)\(=\dfrac{\left(2.2\right)^5.15}{2^{10}.8}=\dfrac{2^5.2^5.15}{2^{10}.8}=\dfrac{15}{8}\)
a. \(\dfrac{-2}{3}+\dfrac{-1}{5}+\dfrac{3}{4}-\dfrac{5}{6}-\dfrac{7}{10}\)
= \(\dfrac{-4}{6}+\dfrac{-2}{10}+\dfrac{3}{4}-\dfrac{5}{6}-\dfrac{7}{10}\)
= \(\dfrac{-3}{2}+\dfrac{1}{2}+\dfrac{3}{4}\)
= (-1) + \(\dfrac{3}{4}\)
= \(\dfrac{-4}{4}+\dfrac{3}{4}\)
= \(\dfrac{-1}{4}\)
b; 0,5 + \(\dfrac{1}{3}\) + 0,4 + \(\dfrac{5}{7}\) + \(\dfrac{1}{6}\) - \(\dfrac{4}{35}\)
= (\(\dfrac{1}{3}\)+ \(\dfrac{1}{6}\) + \(\dfrac{1}{2}\)) + (\(\dfrac{5}{7}\)- \(\dfrac{4}{35}\)+ \(\dfrac{2}{5}\))
= ( \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\)) + (\(\dfrac{3}{5}\) + \(\dfrac{2}{5}\))
= 1 + 1
= 2
\(\dfrac{4^2.25^2+32.125}{2^3.5^2}=\dfrac{2^4.5^4+2^5.5^3}{2^3.5^2}=\dfrac{2^3.5^2\left(2.5^2+2^2.5\right)}{2^3.5^2}=2.5^2+2^2.5=50+20=70\)
\(=\dfrac{102}{5}\cdot\dfrac{6}{5}-\dfrac{107}{3}\cdot\dfrac{6}{5}-\dfrac{3}{4}\)
\(=\dfrac{6}{5}\cdot\dfrac{-229}{15}-\dfrac{3}{4}\)
\(=\dfrac{-458}{25}-\dfrac{3}{4}=-\dfrac{1907}{100}\)
= 102/5 x 6/5 - 107/3 x 6/5 - 3/4
= 6/5 x ( 102/5 - 107/3 ) - 3/4
= 6/5 x -229/15 - 3/4
= -458/25 - 3/4
= -1907/100
4 6 .256 2 .2 4 = 2 2 6 . 2 8 2 .2 4 = 2 12 .2 16 .2 4 = 2 32