giúp em với mn?
\(4\cdot\left(\dfrac{1}{4}\right)^2+25\left[\left(\dfrac{3}{4}\right)^3:\left(\dfrac{5}{4}\right)^3\right]:\left(\dfrac{3}{2}\right)^3\)
\(=4\cdot\dfrac{1}{16}+25\left[\left(\dfrac{3}{4}\cdot\dfrac{4}{5}\right)^3\right]\cdot\left(\dfrac{2}{3}\right)^3\)
\(=4\cdot\dfrac{1}{16}+25\cdot\dfrac{27}{125}\cdot\dfrac{8}{27}\)
\(=\dfrac{1}{4}+\dfrac{8}{5}\)\(=\dfrac{37}{20}\)
`4.((1)/(4))^{2}+25.[((3)/(4))^{3}:((5)/(4))^{3}]:((3)/(2))^{3}`
`=(4.1^{2})/(4^{2})+25.((3^{3})/(4^{3}).(4^{3})/(5^{3})).(2^{3})/(3^{3})`
`=(1)/(4)+25.(3^{3})/(5^{3}).(2^{3})/(3^{3})`
`=(1)/(4)+5^{2}.(2^{3})/(5^{3})`
`=(1)/(4)+(2^{3})/(5)`
`=(1)/(4)+(8)/(5)`
`=(5+8.4)/(20)=(17)/(20)`
