Tính (5/13)5.(13/15)5
giúp min nhé thank you every
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Số số hạng của dãy trên là : ( 2013 - 5 ) : 4 +1 = 503 ( số )
Tổng của dãy trên là : ( 2013 + 5 ) × 503 : 2 = 507527
=> 5 + 9 + 13 + ... + 2005 + 2009 + 2013 = 507527
ủng hộ nha^_^
a.
( 2/5 + 7/9 ) + 3/5
= ( 18/45 + 35/45 ) + 3/5
= 53/45 + 3/5
= 53/45 + 27/45
= 80/45 = 16/9
[ ... ] tương tự. Lười wá!
a. [2/5+7/9]+3/5
=[18/45+35/45]+3/5
=53/45+3/5
=53/45+27/45
=80/45=16/9
b. 19/11+[8/13+3/11]
=19/11+[88/143+39/143]
=19/11+127/43
=817/473+1397/473
=2196/473
c. 12/19-19/7
=12-1/7
=84/7-1/7
=83/7
\(=\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{13}+\dfrac{1}{13}-\dfrac{1}{20}=\dfrac{1}{5}-\dfrac{1}{20}=\dfrac{3}{20}\)
\(\frac{3}{5}\).\(\frac{-9}{13}\)+\(\frac{4}{13}\).\(\frac{-3}{5}\)+\(\frac{12}{7}\)=\(\frac{3}{5}\).\(\frac{-9}{13}\)+\(\frac{-4}{13}\).\(\frac{3}{5}\)+\(\frac{12}{7}\)
=\(\frac{3}{5}\).(\(\frac{-9}{13}\)+\(\frac{-4}{13}\))+\(\frac{12}{7}\)
= \(\frac{3}{5}\).-1+\(\frac{12}{7}\)
=\(\frac{-3}{5}\)+\(\frac{12}{7}\)
=\(\frac{39}{35}\)
a) \(\frac{1}{3}-\frac{3}{4}-\left(\frac{-3}{5}\right)+\frac{1}{64}-\frac{2}{9}-\frac{1}{36}+\frac{1}{15}\)
=\(\left(\frac{1}{3}+\frac{3}{5}+\frac{1}{15}\right)-\left(\frac{3}{4}+\frac{2}{9}+\frac{1}{36}\right)+\frac{1}{64} \)
=\(\frac{5+9+1}{15}-\frac{27+8+1}{36}+\frac{1}{64}\)
= \(1+1+\frac{1}{64}=2\frac{1}{64}\)
\(a,\dfrac{1}{2}+\left(-\dfrac{3}{4}\right)=\dfrac{2}{4}+\left(-\dfrac{3}{4}\right)=-\dfrac{1}{4}\)
\(b,\dfrac{2}{5}+\left(-\dfrac{1}{16}\right)+\left(-\dfrac{9}{5}\right)+\left(-\dfrac{5}{16}\right)=\left(\dfrac{2}{5}-\dfrac{9}{5}\right)-\left(\dfrac{1}{16}+\dfrac{5}{16}\right)=\dfrac{-7}{5}-1=\dfrac{-12}{5}\)
\(c,\dfrac{-2}{13}+\dfrac{8}{15}+\dfrac{10}{20}+\dfrac{15}{13}+\left(-\dfrac{23}{15}\right)=\left(\dfrac{-2}{13}+\dfrac{15}{13}\right)+\left(\dfrac{8}{15}+\dfrac{-23}{15}\right)+\dfrac{1}{2}=1+\left(-1\right)+\dfrac{1}{2}=\dfrac{1}{2}\)
(Cho mik làm lại nha)
\(a,\dfrac{1}{2}+\left(-\dfrac{3}{4}\right)=\dfrac{2}{4}+\left(-\dfrac{3}{4}\right)=-\dfrac{1}{4}\)
\(a,\dfrac{2}{5}+\left(-\dfrac{1}{16}\right)+\left(-\dfrac{9}{5}\right)+\left(-\dfrac{5}{16}\right)=\left(\dfrac{2}{5}+\dfrac{-9}{5}\right)-\left(\dfrac{1}{16}+\dfrac{5}{16}\right)=\dfrac{-7}{5}-\dfrac{6}{16}=\dfrac{-71}{40}\)
\(c,\dfrac{-2}{13}+\dfrac{8}{15}+\dfrac{10}{20}+\dfrac{15}{13}+\left(-\dfrac{23}{15}\right)=\left(\dfrac{-2}{13}+\dfrac{15}{13}\right)+\left(\dfrac{8}{15}+\dfrac{-23}{15}\right)+\dfrac{1}{2}=1+\left(-1\right)+\dfrac{1}{2}=\dfrac{1}{2}\)
\(\left(\dfrac{5}{13}\right)^5.\left(\dfrac{13}{15}\right)^5\)
\(=\left(\dfrac{5}{13}.\dfrac{13}{15}\right)^5\)
\(=\left(\dfrac{1}{3}\right)^5\)
\(=\dfrac{1}{243}\)
(\(\dfrac{5}{13}\))5 . (\(\dfrac{13}{15}\))5
= (\(\dfrac{5}{13}\).\(\dfrac{13}{15}\))5
= (\(\dfrac{1}{3}\))5
= \(\dfrac{1}{243}\)