Solve 6.7*6*10^13/940^2

$$\frac { 6.7 \times 6 \times 10 ^ { 13 } } { 940 ^ { 2 } }$$

Evaluate

$$\frac{1005000000000}{2209}\approx 454956994.114984156$$

Solution Steps

Multiply 6.7 and 6 to get 40.2.

$$\frac{40.2\times 10^{13}}{940^{2}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{40.2\times 10000000000000}{940^{2}}$$

Multiply 40.2 and 10000000000000 to get 402000000000000.

$$\frac{402000000000000}{940^{2}}$$

Calculate 940 to the power of 2 and get 883600.

$$\frac{402000000000000}{883600}$$

Reduce the fraction \frac{402000000000000}{883600} to lowest terms by extracting and canceling out 400.

$$\frac{1005000000000}{2209}$$

Factor

$$\frac{3 \cdot 67 \cdot 2 ^ {9} \cdot 5 ^ {10}}{47 ^ {2}} = 454956994\frac{254}{2209} = 454956994.11498415$$