Solve 0,4^2*0,2/0.6^2*1.6^2

$$\frac { 0,4 ^ { 2 } \times 0,2 } { 0.6 ^ { 2 } \times 1.6 ^ { 2 } }$$

Evaluate

$$\frac{5}{144}\approx 0.034722222$$

Solution Steps

Calculate 0.4 to the power of 2 and get 0.16.

$$\frac{0.16\times 0.2}{0.6^{2}\times 1.6^{2}}$$

Multiply 0.16 and 0.2 to get 0.032.

$$\frac{0.032}{0.6^{2}\times 1.6^{2}}$$

Calculate 0.6 to the power of 2 and get 0.36.

$$\frac{0.032}{0.36\times 1.6^{2}}$$

Calculate 1.6 to the power of 2 and get 2.56.

$$\frac{0.032}{0.36\times 2.56}$$

Multiply 0.36 and 2.56 to get 0.9216.

$$\frac{0.032}{0.9216}$$

Expand \frac{0.032}{0.9216} by multiplying both numerator and the denominator by 10000.

$$\frac{320}{9216}$$

Reduce the fraction \frac{320}{9216} to lowest terms by extracting and canceling out 64.

$$\frac{5}{144}$$

Factor

$$\frac{5}{2 ^ {4} \cdot 3 ^ {2}} = 0.034722222222222224$$