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

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

Enrhifo

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

Camau Ateb

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 2 a -2 i gael -4.

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

Cyfrifo 18 i bŵer -4 a chael \frac{1}{104976}.

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

Lluosi \frac{1}{104976} a 81 i gael \frac{1}{1296}.

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

Cyfrifo 6 i bŵer 3 a chael 216.

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

Cyfrifo 24 i bŵer -4 a chael \frac{1}{331776}.

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

Lluosi 108 a \frac{1}{331776} i gael \frac{1}{3072}.

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

Adio 216 a \frac{1}{3072} i gael \frac{663553}{3072}.

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

Rhannwch \frac{1}{1296} â \frac{663553}{3072} drwy luosi \frac{1}{1296} â chilydd \frac{663553}{3072}.

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

Lluosi \frac{1}{1296} a \frac{3072}{663553} i gael \frac{64}{17915931}.

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

Ffactor

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