Solve 0.09*0.4*0.5*{left(0.4/0.6right)}^2

$$0.09 \times 0.4 \times 0.5 \times { \left( \frac{ 0.4 }{ 0.6 } \right) }^{ 2 }$$

Evaluate

$$0.008$$

Solution Steps

Multiply 0.09 and 0.4 to get 0.036.

$$0.036\times 0.5\times \left(\frac{0.4}{0.6}\right)^{2}$$

Multiply 0.036 and 0.5 to get 0.018.

$$0.018\times \left(\frac{0.4}{0.6}\right)^{2}$$

Expand \frac{0.4}{0.6} by multiplying both numerator and the denominator by 10.

$$0.018\times \left(\frac{4}{6}\right)^{2}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$0.018\times \left(\frac{2}{3}\right)^{2}$$

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$0.018\times \frac{4}{9}$$

Multiply 0.018 and \frac{4}{9} to get \frac{1}{125}.

$$\frac{1}{125}$$

Factor

$$\frac{1}{5 ^ {3}} = 0.008$$