tính:
a. (3/7 + 1/2)\(^{^2}\); b. (3/4 - 5/6)\(^2\); c. 5\(^4\)x 20\(^4\); d. (-10/3)\(^5\)x (-6/5)\(^4\)
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\(\left(\dfrac{3}{7}+\dfrac{1}{2}\right)^2=\left(\dfrac{3\cdot2+7}{14}\right)^2=\left(\dfrac{13}{14}\right)^2=\dfrac{169}{196}\)
\(\left[\dfrac{6}{14}+\dfrac{7}{14}\right]^2=\left[\dfrac{13}{14}\right]^4=\dfrac{169}{196}\)
a) \(\dfrac{6}{7}+\dfrac{7}{8}=\dfrac{48}{56}+\dfrac{49}{56}=\dfrac{97}{56}\)
b) \(\dfrac{4}{5}-\dfrac{2}{3}=\dfrac{12}{15}-\dfrac{10}{15}=\dfrac{2}{15}\)
c) \(\dfrac{2}{3}.\dfrac{4}{9}=\dfrac{8}{27}\)
d) \(\dfrac{1}{5}:\dfrac{2}{7}=\dfrac{1}{5}.\dfrac{7}{2}=\dfrac{7}{10}\)
a: =48/56+49/56
=97/56
b: =12/15-10/15
=2/15
c: =(2*4)/(3*9)=8/27
d: =1/5*7/2=7/10
\(\dfrac{3}{7}\times\dfrac{7}{9}\times\dfrac{1}{2}\)
\(=\dfrac{3\times7\times1}{7\times9\times2}\)
\(=\dfrac{21}{126}\)
\(=\dfrac{1}{6}\)
\(\dfrac{5}{8}\times4\times\dfrac{1}{2}\\ =\dfrac{5}{8}\times\dfrac{4}{1}\times\dfrac{1}{2}\\ =\dfrac{5\times4\times1}{8\times1\times2}\\ =\dfrac{20}{16}\\ =\dfrac{5}{4}\)
\(4\times\dfrac{1}{24}\times3\\ =\dfrac{4}{1}\times\dfrac{1}{24}\times\dfrac{3}{1}\\ =\dfrac{4\times1\times3}{1\times24\times1}\\ =\dfrac{12}{24}\\ =\dfrac{1}{2}\)
\(a,\dfrac{7}{15}+\dfrac{4}{5}=\dfrac{7+4\times3}{15}=\dfrac{19}{15}\\ b,\dfrac{2}{3}-\dfrac{3}{8}=\dfrac{2\times8-3\times3}{24}=\dfrac{7}{24}\\ c,\dfrac{4}{5}\times\dfrac{5}{8}=\dfrac{1\times1}{2\times1}=\dfrac{1}{2}\\ d,\dfrac{1}{2}:\dfrac{2}{5}=\dfrac{1}{2}\times\dfrac{5}{2}=\dfrac{5}{4}\)
a) \(\dfrac{3}{5} - \dfrac{{ - 1}}{3}\)
\( = \dfrac{{3.3}}{{5.3}} - \dfrac{{ - 1.5}}{{3.5}}\)
\( = \dfrac{9}{{15}} - \dfrac{{ - 5}}{{15}} = \dfrac{{9 - \left( { - 5} \right)}}{{15}} = \dfrac{{14}}{{15}}\)
b) \( - 3 - \dfrac{2}{7}\)
\(\begin{array}{l} = \dfrac{{ - 3.7}}{{1.7}} - \dfrac{2}{7}\\ = \dfrac{{ - 21}}{7} - \dfrac{2}{7}\\ = \dfrac{{ - 21 - 2}}{7}\\ = \dfrac{{ - 23}}{7}\end{array}\)