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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Iddividi \frac{9^{-3}}{81^{2}} b'\frac{24^{-2}}{27^{2}} billi timmultiplika \frac{9^{-3}}{81^{2}} bir-reċiproku ta' \frac{24^{-2}}{27^{2}}.

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

Ikkalkula 9 bil-power ta' -3 u tikseb \frac{1}{729}.

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

Ikkalkula 27 bil-power ta' 2 u tikseb 729.

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

Immultiplika \frac{1}{729} u 729 biex tikseb 1.

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

Ikkalkula 81 bil-power ta' 2 u tikseb 6561.

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

Ikkalkula 24 bil-power ta' -2 u tikseb \frac{1}{576}.

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

Immultiplika 6561 u \frac{1}{576} biex tikseb \frac{729}{64}.

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

Iddividi 1 b'\frac{729}{64} billi timmultiplika 1 bir-reċiproku ta' \frac{729}{64}.

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

Immultiplika 1 u \frac{64}{729} biex tikseb \frac{64}{729}.

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

Fattur

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