Datrys {left(sqrt{1/9+frac{6/18}}{{left(5-23/3right)}^2}right)}^3

$${ \left( \frac{ \sqrt{ \frac{ 1 }{ 9 } + \frac{ 6 }{ 18 } } }{ { \left(5- \frac{ 23 }{ 3 } \right) }^{ 2 } } \right) }^{ 3 }$$

Enrhifo

$$\frac{27}{32768}=0.000823975$$

Camau Ateb

Lleihau'r ffracsiwn \frac{6}{18} i'r graddau lleiaf posib drwy dynnu a chanslo allan 6.

$$\left(\frac{\sqrt{\frac{1}{9}+\frac{1}{3}}}{\left(5-\frac{23}{3}\right)^{2}}\right)^{3}$$

Adio \frac{1}{9} a \frac{1}{3} i gael \frac{4}{9}.

$$\left(\frac{\sqrt{\frac{4}{9}}}{\left(5-\frac{23}{3}\right)^{2}}\right)^{3}$$

Ailysgrifennu ail isradd y rhaniad \frac{4}{9} fel rhaniad ail israddau \frac{\sqrt{4}}{\sqrt{9}}. Cymryd ail isradd y rhifiadur a'r enwadur.

$$\left(\frac{\frac{2}{3}}{\left(5-\frac{23}{3}\right)^{2}}\right)^{3}$$

Tynnu \frac{23}{3} o 5 i gael -\frac{8}{3}.

$$\left(\frac{\frac{2}{3}}{\left(-\frac{8}{3}\right)^{2}}\right)^{3}$$

Cyfrifo -\frac{8}{3} i bŵer 2 a chael \frac{64}{9}.

$$\left(\frac{\frac{2}{3}}{\frac{64}{9}}\right)^{3}$$

Rhannwch \frac{2}{3} â \frac{64}{9} drwy luosi \frac{2}{3} â chilydd \frac{64}{9}.

$$\left(\frac{2}{3}\times \frac{9}{64}\right)^{3}$$

Lluosi \frac{2}{3} a \frac{9}{64} i gael \frac{3}{32}.

$$\left(\frac{3}{32}\right)^{3}$$

Cyfrifo \frac{3}{32} i bŵer 3 a chael \frac{27}{32768}.

$$\frac{27}{32768}$$

Ffactor

$$\frac{3 ^ {3}}{2 ^ {15}} = 0.000823974609375$$