Solve (2/5)^2*(5/12)^2

$$( \frac { 2 } { 5 } ) ^ { 2 } \cdot ( \frac { 5 } { 12 } ) ^ { 2 }$$

Evaluate

$$\frac{1}{36}\approx 0.027777778$$

Solution Steps

Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$\frac{4}{25}\times \left(\frac{5}{12}\right)^{2}$$

Calculate \frac{5}{12} to the power of 2 and get \frac{25}{144}.

$$\frac{4}{25}\times \frac{25}{144}$$

Multiply \frac{4}{25} times \frac{25}{144} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 25}{25\times 144}$$

Cancel out 25 in both numerator and denominator.

$$\frac{4}{144}$$

Reduce the fraction \frac{4}{144} to lowest terms by extracting and canceling out 4.

$$\frac{1}{36}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {2}} = 0.027777777777777776$$