Solve 4*314*314*196*10^1/667*10^-11*14*3600

$$\frac { 4 \times 314 \times 314 \times 196 \times 10 ^ { 1 } } { 667 \times 10 ^ { - 11 } \times 14 \times 3600 }$$

Evaluate

$$\frac{13803440000000000}{6003}\approx 2.299423622 \cdot 10^{12}$$

Solution Steps

Cancel out 2\times 2\times 2\times 2\times 2\times 5\times 7 in both numerator and denominator.

$$\frac{2\times 14\times 157\times 157}{45\times 667\times 10^{-11}}$$

Multiply 2 and 14 to get 28.

$$\frac{28\times 157\times 157}{45\times 667\times 10^{-11}}$$

Multiply 28 and 157 to get 4396.

$$\frac{4396\times 157}{45\times 667\times 10^{-11}}$$

Multiply 4396 and 157 to get 690172.

$$\frac{690172}{45\times 667\times 10^{-11}}$$

Multiply 45 and 667 to get 30015.

$$\frac{690172}{30015\times 10^{-11}}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{690172}{30015\times \frac{1}{100000000000}}$$

Multiply 30015 and \frac{1}{100000000000} to get \frac{6003}{20000000000}.

$$\frac{690172}{\frac{6003}{20000000000}}$$

Divide 690172 by \frac{6003}{20000000000} by multiplying 690172 by the reciprocal of \frac{6003}{20000000000}.

$$690172\times \frac{20000000000}{6003}$$

Multiply 690172 and \frac{20000000000}{6003} to get \frac{13803440000000000}{6003}.

$$\frac{13803440000000000}{6003}$$

Factor

$$\frac{2 ^ {13} \cdot 5 ^ {10} \cdot 7 \cdot 157 ^ {2}}{3 ^ {2} \cdot 23 \cdot 29} = 2299423621522\frac{3434}{6003} = 2299423621522.5723$$