Solve 746496*10*10*10*10*7*7/4*22*22

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

Evaluate

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

Solution Steps

Cancel out 2\times 2\times 4 in both numerator and denominator.

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

Multiply 7 and 7 to get 49.

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

Multiply 49 and 10 to get 490.

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

Multiply 490 and 10 to get 4900.

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

Multiply 4900 and 10 to get 49000.

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

Multiply 49000 and 10 to get 490000.

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

Multiply 490000 and 46656 to get 22861440000.

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

Multiply 11 and 11 to get 121.

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

Factor

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