Solve 0.04^2/0.06^2*0.03

$$\frac{ { 0.04 }^{ 2 } }{ { 0.06 }^{ 2 } \times 0.03 }$$

Evaluate

$$\frac{400}{27}\approx 14.814814815$$

Solution Steps

Calculate 0.04 to the power of 2 and get 0.0016.

$$\frac{0.0016}{0.06^{2}\times 0.03}$$

Calculate 0.06 to the power of 2 and get 0.0036.

$$\frac{0.0016}{0.0036\times 0.03}$$

Multiply 0.0036 and 0.03 to get 0.000108.

$$\frac{0.0016}{0.000108}$$

Expand \frac{0.0016}{0.000108} by multiplying both numerator and the denominator by 1000000.

$$\frac{1600}{108}$$

Reduce the fraction \frac{1600}{108} to lowest terms by extracting and canceling out 4.

$$\frac{400}{27}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {2}}{3 ^ {3}} = 14\frac{22}{27} = 14.814814814814815$$