Solve 71.8-32.4/0.198^2

$$\frac { 71.8 - 32.4 } { 0.198 ^ { 2 } }$$

Evaluate

$$\frac{9850000}{9801}\approx 1004.999489848$$

Solution Steps

Subtract 32.4 from 71.8 to get 39.4.

$$\frac{39.4}{0.198^{2}}$$

Calculate 0.198 to the power of 2 and get 0.039204.

$$\frac{39.4}{0.039204}$$

Expand \frac{39.4}{0.039204} by multiplying both numerator and the denominator by 1000000.

$$\frac{39400000}{39204}$$

Reduce the fraction \frac{39400000}{39204} to lowest terms by extracting and canceling out 4.

$$\frac{9850000}{9801}$$

Factor

$$\frac{197 \cdot 2 ^ {4} \cdot 5 ^ {5}}{3 ^ {4} \cdot 11 ^ {2}} = 1004\frac{9796}{9801} = 1004.9994898479747$$