Datrys {r}{(1/3)^{8}+8*(2/3)(1/3)^{7}+8!/6!2!(frac{2}{3})^{2}(frac{1}{3})^{6}+frac{8!}{5!3!}(frac{2}{3})^{3}(frac{1}{3})^{5}+frac{8!}{4!4!}(frac{2}{3})^4(frac{1}{3})^4}{quad+frac{8!}{3!5!}(frac{2}{3})^5(frac{1}{3})^3}

$$\left. \begin{array} { r } { ( \frac { 1 } { 3 } ) ^ { 8 } + 8 \cdot ( \frac { 2 } { 3 } ) ( \frac { 1 } { 3 } ) ^ { 7 } + \frac { 8 ! } { 6 ! 2 ! } ( \frac { 2 } { 3 } ) ^ { 2 } ( \frac { 1 } { 3 } ) ^ { 6 } + \frac { 8 ! } { 5 ! 3 ! } ( \frac { 2 } { 3 } ) ^ { 3 } ( \frac { 1 } { 3 } ) ^ { 5 } + \frac { 8 ! } { 4 ! 4 ! } ( \frac { 2 } { 3 } ) ^ { 4 } ( \frac { 1 } { 3 } ) ^ { 4 } } \\ { \quad + \frac { 8 ! } { 3 ! 5 ! } ( \frac { 2 } { 3 } ) ^ { 5 } ( \frac { 1 } { 3 } ) ^ { 3 } } \end{array} \right.$$

Enrhifo

$$\frac{1163}{2187}\approx 0.531778692$$

Camau Ateb

Lluosi 4! a 4! i gael \left(4!\right)^{2}.

$$\left(\frac{1}{3}\right)^{8}+8\times \frac{2}{3}\times \left(\frac{1}{3}\right)^{7}+\frac{8!}{6!\times 2!}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Cyfrifo \frac{1}{3} i bŵer 8 a chael \frac{1}{6561}.

$$\frac{1}{6561}+8\times \frac{2}{3}\times \left(\frac{1}{3}\right)^{7}+\frac{8!}{6!\times 2!}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Mynegwch 8\times \frac{2}{3} fel ffracsiwn unigol.

$$\frac{1}{6561}+\frac{8\times 2}{3}\times \left(\frac{1}{3}\right)^{7}+\frac{8!}{6!\times 2!}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluosi 8 a 2 i gael 16.

$$\frac{1}{6561}+\frac{16}{3}\times \left(\frac{1}{3}\right)^{7}+\frac{8!}{6!\times 2!}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Cyfrifo \frac{1}{3} i bŵer 7 a chael \frac{1}{2187}.

$$\frac{1}{6561}+\frac{16}{3}\times \frac{1}{2187}+\frac{8!}{6!\times 2!}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluoswch \frac{16}{3} â \frac{1}{2187} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{1}{6561}+\frac{16\times 1}{3\times 2187}+\frac{8!}{6!\times 2!}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{16\times 1}{3\times 2187}.

$$\frac{1}{6561}+\frac{16}{6561}+\frac{8!}{6!\times 2!}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Gan fod gan \frac{1}{6561} a \frac{16}{6561} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{1+16}{6561}+\frac{8!}{6!\times 2!}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Adio 1 a 16 i gael 17.

$$\frac{17}{6561}+\frac{8!}{6!\times 2!}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Ffactorial 8 yw 40320.

$$\frac{17}{6561}+\frac{40320}{6!\times 2!}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Ffactorial 6 yw 720.

$$\frac{17}{6561}+\frac{40320}{720\times 2!}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Ffactorial 2 yw 2.

$$\frac{17}{6561}+\frac{40320}{720\times 2}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluosi 720 a 2 i gael 1440.

$$\frac{17}{6561}+\frac{40320}{1440}\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Rhannu 40320 â 1440 i gael 28.

$$\frac{17}{6561}+28\times \left(\frac{2}{3}\right)^{2}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Cyfrifo \frac{2}{3} i bŵer 2 a chael \frac{4}{9}.

$$\frac{17}{6561}+28\times \frac{4}{9}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Mynegwch 28\times \frac{4}{9} fel ffracsiwn unigol.

$$\frac{17}{6561}+\frac{28\times 4}{9}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluosi 28 a 4 i gael 112.

$$\frac{17}{6561}+\frac{112}{9}\times \left(\frac{1}{3}\right)^{6}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Cyfrifo \frac{1}{3} i bŵer 6 a chael \frac{1}{729}.

$$\frac{17}{6561}+\frac{112}{9}\times \frac{1}{729}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluoswch \frac{112}{9} â \frac{1}{729} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{17}{6561}+\frac{112\times 1}{9\times 729}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{112\times 1}{9\times 729}.

$$\frac{17}{6561}+\frac{112}{6561}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Gan fod gan \frac{17}{6561} a \frac{112}{6561} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{17+112}{6561}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Adio 17 a 112 i gael 129.

$$\frac{129}{6561}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lleihau'r ffracsiwn \frac{129}{6561} i'r graddau lleiaf posib drwy dynnu a chanslo allan 3.

$$\frac{43}{2187}+\frac{8!}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Ffactorial 8 yw 40320.

$$\frac{43}{2187}+\frac{40320}{5!\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Ffactorial 5 yw 120.

$$\frac{43}{2187}+\frac{40320}{120\times 3!}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Ffactorial 3 yw 6.

$$\frac{43}{2187}+\frac{40320}{120\times 6}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluosi 120 a 6 i gael 720.

$$\frac{43}{2187}+\frac{40320}{720}\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Rhannu 40320 â 720 i gael 56.

$$\frac{43}{2187}+56\times \left(\frac{2}{3}\right)^{3}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Cyfrifo \frac{2}{3} i bŵer 3 a chael \frac{8}{27}.

$$\frac{43}{2187}+56\times \frac{8}{27}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Mynegwch 56\times \frac{8}{27} fel ffracsiwn unigol.

$$\frac{43}{2187}+\frac{56\times 8}{27}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluosi 56 a 8 i gael 448.

$$\frac{43}{2187}+\frac{448}{27}\times \left(\frac{1}{3}\right)^{5}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Cyfrifo \frac{1}{3} i bŵer 5 a chael \frac{1}{243}.

$$\frac{43}{2187}+\frac{448}{27}\times \frac{1}{243}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluoswch \frac{448}{27} â \frac{1}{243} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{43}{2187}+\frac{448\times 1}{27\times 243}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{448\times 1}{27\times 243}.

$$\frac{43}{2187}+\frac{448}{6561}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluosrif lleiaf cyffredin 2187 a 6561 yw 6561. Troswch \frac{43}{2187} a \frac{448}{6561} yn ffracsiynau gyda’r enwadur 6561.

$$\frac{129}{6561}+\frac{448}{6561}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Gan fod gan \frac{129}{6561} a \frac{448}{6561} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{129+448}{6561}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Adio 129 a 448 i gael 577.

$$\frac{577}{6561}+\frac{8!}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Ffactorial 8 yw 40320.

$$\frac{577}{6561}+\frac{40320}{\left(4!\right)^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Ffactorial 4 yw 24.

$$\frac{577}{6561}+\frac{40320}{24^{2}}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Cyfrifo 24 i bŵer 2 a chael 576.

$$\frac{577}{6561}+\frac{40320}{576}\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Rhannu 40320 â 576 i gael 70.

$$\frac{577}{6561}+70\times \left(\frac{2}{3}\right)^{4}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Cyfrifo \frac{2}{3} i bŵer 4 a chael \frac{16}{81}.

$$\frac{577}{6561}+70\times \frac{16}{81}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Mynegwch 70\times \frac{16}{81} fel ffracsiwn unigol.

$$\frac{577}{6561}+\frac{70\times 16}{81}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluosi 70 a 16 i gael 1120.

$$\frac{577}{6561}+\frac{1120}{81}\times \left(\frac{1}{3}\right)^{4}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Cyfrifo \frac{1}{3} i bŵer 4 a chael \frac{1}{81}.

$$\frac{577}{6561}+\frac{1120}{81}\times \frac{1}{81}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluoswch \frac{1120}{81} â \frac{1}{81} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{577}{6561}+\frac{1120\times 1}{81\times 81}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{1120\times 1}{81\times 81}.

$$\frac{577}{6561}+\frac{1120}{6561}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Gan fod gan \frac{577}{6561} a \frac{1120}{6561} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{577+1120}{6561}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Adio 577 a 1120 i gael 1697.

$$\frac{1697}{6561}+\frac{8!}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Ffactorial 8 yw 40320.

$$\frac{1697}{6561}+\frac{40320}{3!\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Ffactorial 3 yw 6.

$$\frac{1697}{6561}+\frac{40320}{6\times 5!}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Ffactorial 5 yw 120.

$$\frac{1697}{6561}+\frac{40320}{6\times 120}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Lluosi 6 a 120 i gael 720.

$$\frac{1697}{6561}+\frac{40320}{720}\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Rhannu 40320 â 720 i gael 56.

$$\frac{1697}{6561}+56\times \left(\frac{2}{3}\right)^{5}\times \left(\frac{1}{3}\right)^{3}$$

Cyfrifo \frac{2}{3} i bŵer 5 a chael \frac{32}{243}.

$$\frac{1697}{6561}+56\times \frac{32}{243}\times \left(\frac{1}{3}\right)^{3}$$

Mynegwch 56\times \frac{32}{243} fel ffracsiwn unigol.

$$\frac{1697}{6561}+\frac{56\times 32}{243}\times \left(\frac{1}{3}\right)^{3}$$

Lluosi 56 a 32 i gael 1792.

$$\frac{1697}{6561}+\frac{1792}{243}\times \left(\frac{1}{3}\right)^{3}$$

Cyfrifo \frac{1}{3} i bŵer 3 a chael \frac{1}{27}.

$$\frac{1697}{6561}+\frac{1792}{243}\times \frac{1}{27}$$

Lluoswch \frac{1792}{243} â \frac{1}{27} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{1697}{6561}+\frac{1792\times 1}{243\times 27}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{1792\times 1}{243\times 27}.

$$\frac{1697}{6561}+\frac{1792}{6561}$$

Gan fod gan \frac{1697}{6561} a \frac{1792}{6561} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{1697+1792}{6561}$$

Adio 1697 a 1792 i gael 3489.

$$\frac{3489}{6561}$$

Lleihau'r ffracsiwn \frac{3489}{6561} i'r graddau lleiaf posib drwy dynnu a chanslo allan 3.

$$\frac{1163}{2187}$$

Ffactor

$$\frac{1163}{3 ^ {7}} = 0.5317786922725194$$