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\(\frac{4^2.2^5+32.125}{2^3.5^2}\) \(=\)\(\frac{4^2.2^5+2^5.5^3}{2^3.5^2}\)
\(=\frac{\left(4^2+5^3\right).2^5}{2^3.5^2}\)
\(=\) \(\frac{\left(4^2+5^3\right).2^2}{5^2}\)
\(=\) \(\frac{564}{25}\)
\(\frac{4^2.2^5+32.125}{2^3.5^2}=\frac{4^2.2^5+2^5.5^3}{2^3.2^5}\)
\(=\frac{(4^2+5^3).2^5}{2^3.2^5}\)
\(=\frac{(4^2+5^3).2^2}{5^2}\)
\(=\frac{564}{25}\)
1 \(A=\left(1+\frac{1}{2}\right)\times\left(1+\frac{1}{3}\right)\times\left(1+\frac{1}{4}\right)\times.........\times\left(1+\frac{1}{2016}\right)\times\left(1+\frac{1}{2017}\right)\)
\(A=\frac{3}{2}\times\frac{4}{3}\times\frac{5}{4}\times......\times\frac{2016}{2017}\times\frac{2018}{2017}\)
\(A=\frac{2018}{2}=1009\)
\(B=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+.......+\frac{2}{43.45}\)
\(B=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-......+\frac{1}{43}-\frac{1}{45}\)
\(B=\frac{1}{3}-\frac{1}{45}\)
\(B=\frac{14}{45}\)
2 \(\frac{2017}{2018}\times\frac{23}{47}+\frac{24}{2018}\times\frac{2017}{47}\)
\(=\frac{2017}{2018}\times\frac{23}{47}+\frac{24}{47}\times\frac{2017}{2018}\)
\(=\frac{2017}{2018}\times\left(\frac{23}{47}+\frac{24}{47}\right)\)
\(=\frac{2017}{2018}\times1\)
=\(\frac{2017}{2018}\)
bạn nào xem giải thế có đúng ko
a) \(A=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{37.39}\)
\(A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{37}-\frac{1}{39}\)
\(A=\frac{1}{3}-\frac{1}{39}\)
\(A=\frac{13}{39}-\frac{1}{39}=\frac{12}{39}\)
b) \(B=\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+...+\frac{3}{73.76}\)
\(B=\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+...+\frac{1}{73}-\frac{1}{76}\)
\(B=\frac{1}{4}-\frac{1}{76}\)
\(B=\frac{19}{76}-\frac{1}{76}=\frac{18}{76}=\frac{9}{38}\)
a) $\frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}$
b) $\frac{2}{3} - \frac{4}{{15}} = \frac{{10}}{{15}} - \frac{4}{{15}} = \frac{6}{{15}} = \frac{2}{5}$
c) $\frac{3}{5} - \frac{{10}}{{25}} = \frac{{15}}{{25}} - \frac{{10}}{{25}} = \frac{5}{{25}} = \frac{1}{5}$
2/3 x(5/7 + 1) +7/2 -1/3
=2/3x12/7 + 7/2 - 1/3
=8/7 +7/2-1/3
=(48+147-14)/3
= 181/42
2/3 x(5/7 + 1) +7/2 -1/3
=2/3x12/7 + 7/2 - 1/3
=8/7 +7/2-1/3
=(48+147-14)/3
= 181/42
Tick cho mình nha
a) \(3\frac{4}{7}\times2\frac{4}{5}\)
\(=\frac{25}{7}\times\frac{14}{5}=\frac{350}{35}=10\)
b) \(\frac{4}{5}:\frac{1}{2}+\frac{17}{3}\)
\(=\frac{8}{5}+\frac{17}{3}\)
\(=\frac{109}{15}\)
c) \(5\frac{1}{3}-2\frac{1}{6}\)
\(=\frac{16}{3}-\frac{13}{6}\)
\(=\frac{32}{6}-\frac{13}{6}=\frac{19}{6}\)
d) \(4\frac{1}{2}:2\frac{1}{4}\)
\(=\frac{9}{2}:\frac{9}{4}=\frac{45}{18}\)
a, \(\frac{2}{3}+\frac{2}{3}+\frac{6}{3}=\frac{10}{3}\)
b,\(\frac{3}{4}+\frac{3}{4}+\frac{3}{2}=\frac{6}{4}+\frac{3}{2}=\frac{3}{2}+\frac{3}{2}=\frac{6}{2}=3\)
a:\(\frac{5}{6}\)-\(\frac{3}{4}\):2
=\(\frac{5}{6}\)-\(\frac{3}{4}\):\(\frac{2}{1}\)
=\(\frac{5}{6}\)-\(\frac{3}{8}\)
=\(\frac{11}{24}\)
a) \(\frac{5}{6}.\frac{3}{4}:2\)= \(\frac{5}{8}x\frac{1}{2}\)= \(\frac{5}{16}\)
b) \(\frac{2}{5}.\frac{4}{7}:2\)= \(\frac{8}{35}x\frac{1}{2}\)= \(\frac{8}{70}\)
Đúng 100%
\(B=\frac{4^2.25^2+32.125}{2^3.5^2}\)
\(=\frac{\left(2^2\right)^2.\left(5^2\right)^2+2^5.5^3}{2^3.5^2}\)
\(=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}\)
\(=\frac{2^3.5^2.\left(2.5^2+2^2.5\right)}{2^3.5^2}\)
\(=2.5^2+2^2.5\)
\(=2.25+4.5\)
\(=50+20=70\)
\(B=\frac{2^4.5^4+2^5.5^3}{2^3.5^2}=\frac{2^4.5^3\left(5+2\right)}{2^3.5^2}=2.5.7=70\)