Datrys 8^-1+{left(frac{2/3right)}^-2-5^0}{{left(2/3right)}^-2+4^-1-7^0}+31/21

$$\frac{ { 8 }^{ -1 } + { \left( \frac{ 2 }{ 3 } \right) }^{ -2 } - { 5 }^{ 0 } }{ { \left( \frac{ 2 }{ 3 } \right) }^{ -2 } + { 4 }^{ -1 } - { 7 }^{ 0 } } + \frac{ 31 }{ 21 }$$

Enrhifo

$$\frac{67}{28}\approx 2.392857143$$

Camau Ateb

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

$$\frac{\frac{1}{8}+\left(\frac{2}{3}\right)^{-2}-5^{0}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

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

$$\frac{\frac{1}{8}+\frac{9}{4}-5^{0}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

Adio \frac{1}{8} a \frac{9}{4} i gael \frac{19}{8}.

$$\frac{\frac{19}{8}-5^{0}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

Cyfrifo 5 i bŵer 0 a chael 1.

$$\frac{\frac{19}{8}-1}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

Tynnu 1 o \frac{19}{8} i gael \frac{11}{8}.

$$\frac{\frac{11}{8}}{\left(\frac{2}{3}\right)^{-2}+4^{-1}-7^{0}}+\frac{31}{21}$$

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

$$\frac{\frac{11}{8}}{\frac{9}{4}+4^{-1}-7^{0}}+\frac{31}{21}$$

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

$$\frac{\frac{11}{8}}{\frac{9}{4}+\frac{1}{4}-7^{0}}+\frac{31}{21}$$

Adio \frac{9}{4} a \frac{1}{4} i gael \frac{5}{2}.

$$\frac{\frac{11}{8}}{\frac{5}{2}-7^{0}}+\frac{31}{21}$$

Cyfrifo 7 i bŵer 0 a chael 1.

$$\frac{\frac{11}{8}}{\frac{5}{2}-1}+\frac{31}{21}$$

Tynnu 1 o \frac{5}{2} i gael \frac{3}{2}.

$$\frac{\frac{11}{8}}{\frac{3}{2}}+\frac{31}{21}$$

Rhannwch \frac{11}{8} â \frac{3}{2} drwy luosi \frac{11}{8} â chilydd \frac{3}{2}.

$$\frac{11}{8}\times \frac{2}{3}+\frac{31}{21}$$

Lluosi \frac{11}{8} a \frac{2}{3} i gael \frac{11}{12}.

$$\frac{11}{12}+\frac{31}{21}$$

Adio \frac{11}{12} a \frac{31}{21} i gael \frac{67}{28}.

$$\frac{67}{28}$$

Ffactor

$$\frac{67}{2 ^ {2} \cdot 7} = 2\frac{11}{28} = 2.392857142857143$$