\(\dfrac{10^3+2.5^3+5^3}{55}=\dfrac{\left(2.5\right)^3+2.5^3+5^3}{55}=\dfrac{2.5^3+2.5^3+5^3}{55}=\dfrac{5^3\left(2+2+1\right)}{55}=\dfrac{5^2.5}{11}=\dfrac{5^3}{11}=\dfrac{125}{11}\)

\(\dfrac{10^3+2.5^3+5^3}{55}=\dfrac{\left(2.5\right)^3+2.5^3+5^3}{55}\)

\(\Rightarrow\)\(\dfrac{5^3\left(2+2+2\right)}{55}\)=\(\dfrac{5^3}{11}\)=\(\dfrac{125}{11}\)

\(=\dfrac{1000+127+125}{55}=\dfrac{1252}{55}\)

\(=\dfrac{5^3\left(2^3+2+1\right)}{55}-\dfrac{2^{12}\cdot3^{10}+2^{12}\cdot3^{10}\cdot5}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}\)

\(=5^2-\dfrac{2^{12}\cdot3^{10}\cdot\left(1+5\right)}{2^{11}\cdot3^{11}\left(2\cdot3-1\right)}=25-\dfrac{2}{3}\cdot\dfrac{6}{5}\)

=25-4/5

=24,2

\(\frac{10^3+2\times5^3+5^3}{55}\)= \(\frac{1000+2\times125+125}{55}\)= \(\frac{1000+250+125}{55}\)= \(\frac{1250+125}{55}\)= \(\frac{1375}{55}\)= 25.

Ta có:

\(\frac{10^{3^{ }}+2.5^3+5^3}{55}=\frac{5^3\left(2^3+2+1\right)}{55}=\frac{5^3.11}{55}=25\)

6² . 10 : { 780 : [ 10³ - ( 2 . 5³ + 35 . 14 ) ] }

= 360 : { 780 : [ 1000 - ( 250 + 490 ) ] }

= 360 : { 780 : [ 1000 - 740 ] }

= 360 : { 780 : 260 }

= 360 : 3

= 120.

theo máy tính kết quả là: \(\frac{13775}{11}\)

tự làm đi dễ mà

10\(^3\) + 2. 5\(^3\) + \(\frac{5^3}{55}\)

= 1000 + 2. 125 + \(\frac{125}{55}\)

= 1000 + 250 + \(\frac{25}{11}\)

= 1250 + \(\frac{25}{11}\)

= 1250\(\frac{25}{11}\) =\(\frac{\text{ 89575}}{88}\)

10³+2.5³+5³:55

= 1000+2.125+125:55

= 1000+250+25/11

= \(1252\frac{3}{11}\)