Solve 2*314*38*10^5*10^3/2953*24*3600

$$\frac { 2 \times 314 \times 38 \times 10 ^ { 5 } \times 10 ^ { 3 } } { 2953 \times 24 \times 3600 }$$

Evaluate

$$\frac{745750000}{79731}\approx 9353.325557186$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$\frac{2\times 314\times 38\times 10^{8}}{2953\times 24\times 3600}$$

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

$$\frac{19\times 157\times 10^{8}}{3\times 2953\times 3600}$$

Multiply 19 and 157 to get 2983.

$$\frac{2983\times 10^{8}}{3\times 2953\times 3600}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{2983\times 100000000}{3\times 2953\times 3600}$$

Multiply 2983 and 100000000 to get 298300000000.

$$\frac{298300000000}{3\times 2953\times 3600}$$

Multiply 3 and 2953 to get 8859.

$$\frac{298300000000}{8859\times 3600}$$

Multiply 8859 and 3600 to get 31892400.

$$\frac{298300000000}{31892400}$$

Reduce the fraction \frac{298300000000}{31892400} to lowest terms by extracting and canceling out 400.

$$\frac{745750000}{79731}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {6} \cdot 19 \cdot 157}{3 ^ {3} \cdot 2953} = 9353\frac{25957}{79731} = 9353.325557186037$$