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

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

Evalwa

$$\frac{64}{17915931}\approx 0.000003572$$

Passi tas-Soluzzjonijiet

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

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

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

$$\frac{\frac{1}{104976}\times 81}{6^{3}+108\times 24^{-4}}$$

Immultiplika \frac{1}{104976} u 81 biex tikseb \frac{1}{1296}.

$$\frac{\frac{1}{1296}}{6^{3}+108\times 24^{-4}}$$

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

$$\frac{\frac{1}{1296}}{216+108\times 24^{-4}}$$

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

$$\frac{\frac{1}{1296}}{216+108\times \frac{1}{331776}}$$

Immultiplika 108 u \frac{1}{331776} biex tikseb \frac{1}{3072}.

$$\frac{\frac{1}{1296}}{216+\frac{1}{3072}}$$

Żid 216 u \frac{1}{3072} biex tikseb \frac{663553}{3072}.

$$\frac{\frac{1}{1296}}{\frac{663553}{3072}}$$

Iddividi \frac{1}{1296} b'\frac{663553}{3072} billi timmultiplika \frac{1}{1296} bir-reċiproku ta' \frac{663553}{3072}.

$$\frac{1}{1296}\times \frac{3072}{663553}$$

Immultiplika \frac{1}{1296} u \frac{3072}{663553} biex tikseb \frac{64}{17915931}.

$$\frac{64}{17915931}$$

Fattur

$$\frac{2 ^ {6}}{3 ^ {3} \cdot 11 \cdot 179 \cdot 337} = 3.5722397010794475 \times 10^{-6}$$