Lutasin ang 746496*10*10*10*10*7*7/4*22*22

$$\frac{ 746496 \times 10 \times 10 \times 10 \times 10 \times 7 \times 7 }{ 4 \times 22 \times 22 }$$

I-evaluate

$$\frac{22861440000}{121}\approx 188937520.661157025$$

Mga Hakbang ng Solution

I-cancel out ang 2\times 2\times 4 sa parehong numerator at denominator.

$$\frac{7\times 7\times 10\times 10\times 10\times 10\times 46656}{11\times 11}$$

I-multiply ang 7 at 7 para makuha ang 49.

$$\frac{49\times 10\times 10\times 10\times 10\times 46656}{11\times 11}$$

I-multiply ang 49 at 10 para makuha ang 490.

$$\frac{490\times 10\times 10\times 10\times 46656}{11\times 11}$$

I-multiply ang 490 at 10 para makuha ang 4900.

$$\frac{4900\times 10\times 10\times 46656}{11\times 11}$$

I-multiply ang 4900 at 10 para makuha ang 49000.

$$\frac{49000\times 10\times 46656}{11\times 11}$$

I-multiply ang 49000 at 10 para makuha ang 490000.

$$\frac{490000\times 46656}{11\times 11}$$

I-multiply ang 490000 at 46656 para makuha ang 22861440000.

$$\frac{22861440000}{11\times 11}$$

I-multiply ang 11 at 11 para makuha ang 121.

$$\frac{22861440000}{121}$$

I-factor

$$\frac{2 ^ {10} \cdot 3 ^ {6} \cdot 5 ^ {4} \cdot 7 ^ {2}}{11 ^ {2}} = 188937520\frac{80}{121} = 188937520.661157$$