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\(\dfrac{4^9\cdot36+64^4}{100\cdot16^4}=\dfrac{2^{20}\cdot3^2+2^{24}}{2^{18}\cdot5^2}=\dfrac{2^{20}\left(3^2+2^4\right)}{2^{18}\cdot5^2}=4\)
\(\text{36.( -14) (- 14).33 36.( 86) 67.( -14)}\)36.( -14) (- 14).33 36.( 86) 67.( -14)
\(=\left(-14\right).\left(33+67\right)+36.\left[\left(-14\right)+\left(-86\right)\right]\)\(=\left(-12\right)\)= ( -14 ) . ( 33 + 67 ) + 36.[ ( -14 ) + ( - 86 ) ]
= (-14 ) .100 + 36 .(-100)
= -1400 + ( -3600 )
= - 5000
học tốt
\(\dfrac{\dfrac{36}{41}:\dfrac{9}{41}}{\dfrac{14}{21}:\dfrac{7}{21}}\) \(\times\) \(\dfrac{2}{5}\)
= \(\dfrac{\dfrac{36}{41}\times\dfrac{41}{9}}{\dfrac{14}{21}\times\dfrac{21}{7}}\) \(\times\) \(\dfrac{2}{5}\)
= \(\dfrac{4}{2}\) \(\times\) \(\dfrac{2}{5}\)
= \(\dfrac{4}{5}\)
a)\(\frac{6}{14}-\left(\frac{-18}{36}\right)-\frac{5}{15}=\frac{3}{7}+\frac{1}{2}-\frac{1}{3}=\frac{25}{42}\)
b) \(\frac{-36}{45}-\frac{25}{10}-\frac{22}{33}=\frac{-4}{5}-\frac{5}{2}-\frac{2}{3}=\frac{-119}{30}\)
c) \(\frac{-10}{3}+\frac{13}{10}-\frac{1}{6}+\frac{7}{70}=\frac{-10}{3}+\frac{13}{10}-\frac{1}{6}+\frac{1}{7}=\frac{-72}{35}\)
CHÚC BN HỌC TỐT!!
\(x^2-\left(-\frac{5}{36}\right)=\frac{14}{36}\)
\(x^2+\frac{5}{36}=\frac{14}{36}\)
\(x^2=\frac{14}{36}-\frac{5}{36}\)
\(x^2=\frac{1}{4}\)
\(\Rightarrow x\in\left\{\frac{-1}{2};\frac{1}{2};\frac{1}{-2};\frac{-1}{-2}\right\}\)
Vậy \(x\in\left\{\frac{-1}{2};\frac{1}{2};\frac{1}{-2};\frac{-1}{-2}\right\}\)
\(x^2-\left(\frac{-5}{36}\right)=\frac{14}{36}\Rightarrow x^2=\frac{14}{36}+\left(\frac{-5}{36}\right)=\frac{14}{36}-\frac{5}{36}=\frac{9}{36}=\frac{1}{4}\)
\(\Rightarrow x^2=\frac{1}{4}\Rightarrow x^2=\pm\left(\frac{1}{2}\right)^2\)
vậy x = \(\frac{1}{2}\) hoặc x = \(\frac{-1}{2}\)