Solve 1671.84^2/(0.44*10^-3)^2

$$\frac { 1671.84 ^ { 2 } } { ( 0.44 \times 10 ^ { - 3 } ) ^ { 2 } }$$

Evaluate

$$\frac{1746905616000000}{121}\approx 1.44372365 \cdot 10^{13}$$

Solution Steps

Calculate 1671.84 to the power of 2 and get 2795048.9856.

$$\frac{2795048.9856}{\left(0.44\times 10^{-3}\right)^{2}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{2795048.9856}{\left(0.44\times \frac{1}{1000}\right)^{2}}$$

Multiply 0.44 and \frac{1}{1000} to get \frac{11}{25000}.

$$\frac{2795048.9856}{\left(\frac{11}{25000}\right)^{2}}$$

Calculate \frac{11}{25000} to the power of 2 and get \frac{121}{625000000}.

$$\frac{2795048.9856}{\frac{121}{625000000}}$$

Divide 2795048.9856 by \frac{121}{625000000} by multiplying 2795048.9856 by the reciprocal of \frac{121}{625000000}.

$$2795048.9856\times \frac{625000000}{121}$$

Multiply 2795048.9856 and \frac{625000000}{121} to get \frac{1746905616000000}{121}.

$$\frac{1746905616000000}{121}$$

Factor

$$\frac{2 ^ {10} \cdot 3 ^ {10} \cdot 5 ^ {6} \cdot 43 ^ {2}}{11 ^ {2}} = 14437236495867\frac{93}{121} = 14437236495867.77$$