Solve (1/2)^3*(1/3)^2*(11/5)^2

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

Evaluate

$$\frac{1}{50}=0.02$$

Solution Steps

Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.

$$\frac{1}{8}\times \left(\frac{1}{3}\right)^{2}\times \left(\frac{1\times 5+1}{5}\right)^{2}$$

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$\frac{1}{8}\times \frac{1}{9}\times \left(\frac{1\times 5+1}{5}\right)^{2}$$

Multiply \frac{1}{8} and \frac{1}{9} to get \frac{1}{72}.

$$\frac{1}{72}\times \left(\frac{1\times 5+1}{5}\right)^{2}$$

Multiply 1 and 5 to get 5.

$$\frac{1}{72}\times \left(\frac{5+1}{5}\right)^{2}$$

Add 5 and 1 to get 6.

$$\frac{1}{72}\times \left(\frac{6}{5}\right)^{2}$$

Calculate \frac{6}{5} to the power of 2 and get \frac{36}{25}.

$$\frac{1}{72}\times \frac{36}{25}$$

Multiply \frac{1}{72} and \frac{36}{25} to get \frac{1}{50}.

$$\frac{1}{50}$$

Factor

$$\frac{1}{2 \cdot 5 ^ {2}} = 0.02$$