Datrys 9^-3:81^2/24^-2:27^2

$$\frac { 9 ^ { - 3 } : 81 ^ { 2 } } { 24 ^ { - 2 } : 27 ^ { 2 } }$$

Enrhifo

$$\frac{64}{729}\approx 0.087791495$$

Camau Ateb

Rhannwch \frac{9^{-3}}{81^{2}} â \frac{24^{-2}}{27^{2}} drwy luosi \frac{9^{-3}}{81^{2}} â chilydd \frac{24^{-2}}{27^{2}}.

$$\frac{9^{-3}\times 27^{2}}{81^{2}\times 24^{-2}}$$

Cyfrifo 9 i bŵer -3 a chael \frac{1}{729}.

$$\frac{\frac{1}{729}\times 27^{2}}{81^{2}\times 24^{-2}}$$

Cyfrifo 27 i bŵer 2 a chael 729.

$$\frac{\frac{1}{729}\times 729}{81^{2}\times 24^{-2}}$$

Lluosi \frac{1}{729} a 729 i gael 1.

$$\frac{1}{81^{2}\times 24^{-2}}$$

Cyfrifo 81 i bŵer 2 a chael 6561.

$$\frac{1}{6561\times 24^{-2}}$$

Cyfrifo 24 i bŵer -2 a chael \frac{1}{576}.

$$\frac{1}{6561\times \frac{1}{576}}$$

Lluosi 6561 a \frac{1}{576} i gael \frac{729}{64}.

$$\frac{1}{\frac{729}{64}}$$

Rhannwch 1 â \frac{729}{64} drwy luosi 1 â chilydd \frac{729}{64}.

$$1\times \frac{64}{729}$$

Lluosi 1 a \frac{64}{729} i gael \frac{64}{729}.

$$\frac{64}{729}$$

Ffactor

$$\frac{2 ^ {6}}{3 ^ {6}} = 0.0877914951989026$$