Solve (-8*149.18/3.14*(20.003)^3*41.24*0.005)^2

$$( \frac { - 8 \times 149.18 } { 3.14 \times ( 20.003 ) ^ { 3 } \times 41.24 } \times 0.005 ) ^ { 2 }$$

Evaluate

$$\frac{55636681000000000000000000}{1678368983468882015790402947566067281}\approx 3.314925475 \cdot 10^{-11}$$

Solution Steps

Multiply -8 and 149.18 to get -1193.44.

$$\left(\frac{-1193.44}{3.14\times 20.003^{3}\times 41.24}\times 0.005\right)^{2}$$

Calculate 20.003 to the power of 3 and get 8003.600540027.

$$\left(\frac{-1193.44}{3.14\times 8003.600540027\times 41.24}\times 0.005\right)^{2}$$

Multiply 3.14 and 8003.600540027 to get 25131.30569568478.

$$\left(\frac{-1193.44}{25131.30569568478\times 41.24}\times 0.005\right)^{2}$$

Multiply 25131.30569568478 and 41.24 to get 1036415.0468900403272.

$$\left(\frac{-1193.44}{1036415.0468900403272}\times 0.005\right)^{2}$$

Expand \frac{-1193.44}{1036415.0468900403272} by multiplying both numerator and the denominator by 10000000000000.

$$\left(\frac{-11934400000000000}{10364150468900403272}\times 0.005\right)^{2}$$

Reduce the fraction \frac{-11934400000000000}{10364150468900403272} to lowest terms by extracting and canceling out 8.

$$\left(-\frac{1491800000000000}{1295518808612550409}\times 0.005\right)^{2}$$

Multiply -\frac{1491800000000000}{1295518808612550409} and 0.005 to get -\frac{7459000000000}{1295518808612550409}.

$$\left(-\frac{7459000000000}{1295518808612550409}\right)^{2}$$

Calculate -\frac{7459000000000}{1295518808612550409} to the power of 2 and get \frac{55636681000000000000000000}{1678368983468882015790402947566067281}.

$$\frac{55636681000000000000000000}{1678368983468882015790402947566067281}$$

Factor

$$\frac{2 ^ {18} \cdot 5 ^ {18} \cdot 7459 ^ {2}}{83 ^ {6} \cdot 157 ^ {2} \cdot 241 ^ {6} \cdot 1031 ^ {2}} = 3.314925475148447 \times 10^{-11}$$