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

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

Whakaoti mō y

$$y=\frac{1}{3628800}\approx 0.000000276$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tuhia te \frac{\frac{1}{2}}{3} hei hautanga kotahi.

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

Whakareatia te 2 ki te 3, ka 6.

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

Tuhia te \frac{\frac{1}{6}}{4} hei hautanga kotahi.

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

Whakareatia te 6 ki te 4, ka 24.

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

Tuhia te \frac{\frac{1}{24}}{5} hei hautanga kotahi.

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

Whakareatia te 24 ki te 5, ka 120.

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

Tuhia te \frac{\frac{1}{120}}{6} hei hautanga kotahi.

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

Whakareatia te 120 ki te 6, ka 720.

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

Tuhia te \frac{\frac{1}{720}}{7} hei hautanga kotahi.

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

Whakareatia te 720 ki te 7, ka 5040.

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

Tuhia te \frac{\frac{1}{5040}}{8} hei hautanga kotahi.

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

Whakareatia te 5040 ki te 8, ka 40320.

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

Tuhia te \frac{\frac{1}{40320}}{9} hei hautanga kotahi.

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

Whakareatia te 40320 ki te 9, ka 362880.

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

Tuhia te \frac{\frac{1}{362880}}{10} hei hautanga kotahi.

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

Whakareatia te 362880 ki te 10, ka 3628800.

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

Tautapa y

$$y≔\frac{1}{3628800}$$