\(\left(-0,2\right)^2\cdot5-\left(2^3\cdot\dfrac{27^3}{4^6\cdot9^5}\right)\)
\(=0,04\cdot5-\left(\dfrac{2^3\cdot3^9}{2^{12}\cdot3^{10}}\right)\)
\(=0,2-\left(\dfrac{1}{2^9\cdot3}\right)=\dfrac{1}{5}-\dfrac{1}{512\cdot3}=\dfrac{1}{5}-\dfrac{1}{1536}\)
\(=\dfrac{1531}{7680}\)
`b, (-0,2)^2 . 5 - (2^3 . 27^3)/(4^6 . 9^5)`
`= 0,04 . 5 - (2^3 . 3^9)/(2^12 . 3^10)`
`= 0,2 - (2^3. 3^9)/(2^3 . 2^9. 3^9 . 3)`
`= 0,2 - 1/(2^9 . 3)`
`= 1/5 -1/1536`
`= 1531/7680`
\(\left(-0,2\right)^2.5-\dfrac{2^3.27^3}{4^6.9^5}\)
\(=\left(\dfrac{-1}{5}\right)^2.5-\dfrac{2^3.\left(3^3\right)^3}{\left(2^2\right)^6.\left(3^2\right)^5}\)
\(=\dfrac{1}{5^2}.5-\dfrac{2^{13}.3^9}{2^{12}.3^{10}}\)
\(=\dfrac{1}{10}.5-\dfrac{2^{12}.2.3^9}{2^{12}.3^9.3}\)
\(\)\(=\dfrac{1}{5}-\dfrac{2}{3}\)
\(=\dfrac{3}{15}-\dfrac{10}{15}\)
\(=\dfrac{-7}{15}\)
