Solve [(1/2)^2*(3/5)^2]^2

$$[ ( \frac { 1 } { 2 } ) ^ { 2 } \cdot ( \frac { 3 } { 5 } ) ^ { 2 } ] ^ { 2 }$$

Evaluate

$$\frac{81}{10000}=0.0081$$

Solution Steps

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\left(\frac{1}{4}\times \left(\frac{3}{5}\right)^{2}\right)^{2}$$

Calculate \frac{3}{5} to the power of 2 and get \frac{9}{25}.

$$\left(\frac{1}{4}\times \frac{9}{25}\right)^{2}$$

Multiply \frac{1}{4} and \frac{9}{25} to get \frac{9}{100}.

$$\left(\frac{9}{100}\right)^{2}$$

Calculate \frac{9}{100} to the power of 2 and get \frac{81}{10000}.

$$\frac{81}{10000}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {4} \cdot 5 ^ {4}} = 0.0081$$