Lahenda y=frac{frac{frac{frac{frac{1/2/3/4/5}{6}}{7}}{8}}{9}}{10}

$$y= \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ 1 }{ 2 } }{ 3 } }{ 4 } }{ 5 } }{ 6 } }{ 7 } }{ 8 } }{ 9 } }{ 10 }$$

Lahendage ja leidke y

$$y=\frac{1}{3628800}\approx 0,000000276$$

Juhised lineaarvõrrandi lahendamiseks

Avaldage \frac{\frac{1}{2}}{3} ühe murdarvuna.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2\times 3}}{4}}{5}}{6}}{7}}{8}}{9}}{10}$$

Korrutage 2 ja 3, et leida 6.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{6}}{4}}{5}}{6}}{7}}{8}}{9}}{10}$$

Avaldage \frac{\frac{1}{6}}{4} ühe murdarvuna.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{6\times 4}}{5}}{6}}{7}}{8}}{9}}{10}$$

Korrutage 6 ja 4, et leida 24.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{24}}{5}}{6}}{7}}{8}}{9}}{10}$$

Avaldage \frac{\frac{1}{24}}{5} ühe murdarvuna.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{1}{24\times 5}}{6}}{7}}{8}}{9}}{10}$$

Korrutage 24 ja 5, et leida 120.

$$y=\frac{\frac{\frac{\frac{\frac{\frac{1}{120}}{6}}{7}}{8}}{9}}{10}$$

Avaldage \frac{\frac{1}{120}}{6} ühe murdarvuna.

$$y=\frac{\frac{\frac{\frac{\frac{1}{120\times 6}}{7}}{8}}{9}}{10}$$

Korrutage 120 ja 6, et leida 720.

$$y=\frac{\frac{\frac{\frac{\frac{1}{720}}{7}}{8}}{9}}{10}$$

Avaldage \frac{\frac{1}{720}}{7} ühe murdarvuna.

$$y=\frac{\frac{\frac{\frac{1}{720\times 7}}{8}}{9}}{10}$$

Korrutage 720 ja 7, et leida 5040.

$$y=\frac{\frac{\frac{\frac{1}{5040}}{8}}{9}}{10}$$

Avaldage \frac{\frac{1}{5040}}{8} ühe murdarvuna.

$$y=\frac{\frac{\frac{1}{5040\times 8}}{9}}{10}$$

Korrutage 5040 ja 8, et leida 40320.

$$y=\frac{\frac{\frac{1}{40320}}{9}}{10}$$

Avaldage \frac{\frac{1}{40320}}{9} ühe murdarvuna.

$$y=\frac{\frac{1}{40320\times 9}}{10}$$

Korrutage 40320 ja 9, et leida 362880.

$$y=\frac{\frac{1}{362880}}{10}$$

Avaldage \frac{\frac{1}{362880}}{10} ühe murdarvuna.

$$y=\frac{1}{362880\times 10}$$

Korrutage 362880 ja 10, et leida 3628800.

$$y=\frac{1}{3628800}$$

Määra y

$$y≔\frac{1}{3628800}$$