Solve 4*10.5*10.5*10.5*3/3.5*3.5*3

$$\frac{ 4 \cdot 10.5 \cdot 10.5 \cdot 10.5 \cdot 3 }{ 3.5 \cdot 3.5 \cdot 3 }$$

Evaluate

$$378$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\frac{4\times 10.5\times 10.5\times 10.5}{3.5\times 3.5}$$

Multiply 4 and 10.5 to get 42.

$$\frac{42\times 10.5\times 10.5}{3.5\times 3.5}$$

Multiply 42 and 10.5 to get 441.

$$\frac{441\times 10.5}{3.5\times 3.5}$$

Multiply 441 and 10.5 to get 4630.5.

$$\frac{4630.5}{3.5\times 3.5}$$

Multiply 3.5 and 3.5 to get 12.25.

$$\frac{4630.5}{12.25}$$

Expand \frac{4630.5}{12.25} by multiplying both numerator and the denominator by 100.

$$\frac{463050}{1225}$$

Divide 463050 by 1225 to get 378.

$$378$$

Factor

$$2\times 7\times 3^{3}$$