Solve (0.004)^2/(0.44824)^3

$$\frac { ( 0.004 ) ^ { 2 } } { ( 0.44824 ) ^ { 3 } }$$

Evaluate

$$\frac{31250000}{175898391227}\approx 0.000177659$$

Solution Steps

Calculate 0.004 to the power of 2 and get 0.000016.

$$\frac{0.000016}{0.44824^{3}}$$

Calculate 0.44824 to the power of 3 and get 0.090059976308224.

$$\frac{0.000016}{0.090059976308224}$$

Expand \frac{0.000016}{0.090059976308224} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{16000000000}{90059976308224}$$

Reduce the fraction \frac{16000000000}{90059976308224} to lowest terms by extracting and canceling out 512.

$$\frac{31250000}{175898391227}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {9}}{13 ^ {3} \cdot 431 ^ {3}} = 0.00017765938495521155$$