Issolvi (18^2)^-2*81/6^3*108*24^-4=

$$\frac { ( 18 ^ { 2 } ) ^ { - 2 } \cdot 81 } { 6 ^ { 3 } \cdot 108 \cdot 24 ^ { - 4 } } =$$

Evalwa

$$\frac{8}{729}\approx 0.010973937$$

Passi tas-Soluzzjonijiet

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika 2 u -2 biex tikseb -4.

$$\frac{18^{-4}\times 81}{6^{3}\times 108\times 24^{-4}}$$

Annulla 27 fin-numeratur u d-denominatur.

$$\frac{3\times 18^{-4}}{4\times 6^{3}\times 24^{-4}}$$

Ikkalkula 18 bil-power ta' -4 u tikseb \frac{1}{104976}.

$$\frac{3\times \frac{1}{104976}}{4\times 6^{3}\times 24^{-4}}$$

Immultiplika 3 u \frac{1}{104976} biex tikseb \frac{1}{34992}.

$$\frac{\frac{1}{34992}}{4\times 6^{3}\times 24^{-4}}$$

Ikkalkula 6 bil-power ta' 3 u tikseb 216.

$$\frac{\frac{1}{34992}}{4\times 216\times 24^{-4}}$$

Immultiplika 4 u 216 biex tikseb 864.

$$\frac{\frac{1}{34992}}{864\times 24^{-4}}$$

Ikkalkula 24 bil-power ta' -4 u tikseb \frac{1}{331776}.

$$\frac{\frac{1}{34992}}{864\times \frac{1}{331776}}$$

Immultiplika 864 u \frac{1}{331776} biex tikseb \frac{1}{384}.

$$\frac{\frac{1}{34992}}{\frac{1}{384}}$$

Iddividi \frac{1}{34992} b'\frac{1}{384} billi timmultiplika \frac{1}{34992} bir-reċiproku ta' \frac{1}{384}.

$$\frac{1}{34992}\times 384$$

Immultiplika \frac{1}{34992} u 384 biex tikseb \frac{8}{729}.

$$\frac{8}{729}$$

Fattur

$$\frac{2 ^ {3}}{3 ^ {6}} = 0.010973936899862825$$