Datrys 2^-1[(5/3)^4+(3/5)^-2]div17/9

$$2 ^ { - 1 } [ ( \frac { 5 } { 3 } ) ^ { 4 } + ( \frac { 3 } { 5 } ) ^ { - 2 } ] \div \frac { 17 } { 9 }$$

Enrhifo

$$\frac{25}{9}\approx 2.777777778$$

Camau Ateb

Cyfrifo 2 i bŵer -1 a chael \frac{1}{2}.

$$\frac{\frac{1}{2}\left(\left(\frac{5}{3}\right)^{4}+\left(\frac{3}{5}\right)^{-2}\right)}{\frac{17}{9}}$$

Cyfrifo \frac{5}{3} i bŵer 4 a chael \frac{625}{81}.

$$\frac{\frac{1}{2}\left(\frac{625}{81}+\left(\frac{3}{5}\right)^{-2}\right)}{\frac{17}{9}}$$

Cyfrifo \frac{3}{5} i bŵer -2 a chael \frac{25}{9}.

$$\frac{\frac{1}{2}\left(\frac{625}{81}+\frac{25}{9}\right)}{\frac{17}{9}}$$

Adio \frac{625}{81} a \frac{25}{9} i gael \frac{850}{81}.

$$\frac{\frac{1}{2}\times \frac{850}{81}}{\frac{17}{9}}$$

Lluosi \frac{1}{2} a \frac{850}{81} i gael \frac{425}{81}.

$$\frac{\frac{425}{81}}{\frac{17}{9}}$$

Rhannwch \frac{425}{81} â \frac{17}{9} drwy luosi \frac{425}{81} â chilydd \frac{17}{9}.

$$\frac{425}{81}\times \frac{9}{17}$$

Lluosi \frac{425}{81} a \frac{9}{17} i gael \frac{25}{9}.

$$\frac{25}{9}$$

Ffactor

$$\frac{5 ^ {2}}{3 ^ {2}} = 2\frac{7}{9} = 2.7777777777777777$$