Datrys frac{4^{3}*9^{3}+6^3*120}{8^4*3^12-6^11}

$$\frac { 4 ^ { 3 } \cdot 9 ^ { 3 } + 6 ^ { 3 } \cdot 120 } { 8 ^ { 4 } \cdot 3 ^ { 12 } - 6 ^ { 11 } }$$

Enrhifo

$$\frac{7}{174960}\approx 0.000040009$$

Camau Ateb

Cyfrifo 4 i bŵer 3 a chael 64.

$$\frac{64\times 9^{3}+6^{3}\times 120}{8^{4}\times 3^{12}-6^{11}}$$

Cyfrifo 9 i bŵer 3 a chael 729.

$$\frac{64\times 729+6^{3}\times 120}{8^{4}\times 3^{12}-6^{11}}$$

Lluosi 64 a 729 i gael 46656.

$$\frac{46656+6^{3}\times 120}{8^{4}\times 3^{12}-6^{11}}$$

Cyfrifo 6 i bŵer 3 a chael 216.

$$\frac{46656+216\times 120}{8^{4}\times 3^{12}-6^{11}}$$

Lluosi 216 a 120 i gael 25920.

$$\frac{46656+25920}{8^{4}\times 3^{12}-6^{11}}$$

Adio 46656 a 25920 i gael 72576.

$$\frac{72576}{8^{4}\times 3^{12}-6^{11}}$$

Cyfrifo 8 i bŵer 4 a chael 4096.

$$\frac{72576}{4096\times 3^{12}-6^{11}}$$

Cyfrifo 3 i bŵer 12 a chael 531441.

$$\frac{72576}{4096\times 531441-6^{11}}$$

Lluosi 4096 a 531441 i gael 2176782336.

$$\frac{72576}{2176782336-6^{11}}$$

Cyfrifo 6 i bŵer 11 a chael 362797056.

$$\frac{72576}{2176782336-362797056}$$

Tynnu 362797056 o 2176782336 i gael 1813985280.

$$\frac{72576}{1813985280}$$

Lleihau'r ffracsiwn \frac{72576}{1813985280} i'r graddau lleiaf posib drwy dynnu a chanslo allan 10368.

$$\frac{7}{174960}$$

Ffactor

$$\frac{7}{2 ^ {4} \cdot 3 ^ {7} \cdot 5} = 4.000914494741655 \times 10^{-5}$$