Solve 1/2{left(2/300right)}^20.4

$$\frac{ 1 }{ 2 } { \left( \frac{ 2 }{ 300 } \right) }^{ 2 } 0.4$$

Evaluate

$$\frac{1}{112500}\approx 0.000008889$$

Solution Steps

Reduce the fraction \frac{2}{300} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \left(\frac{1}{150}\right)^{2}\times 0.4$$

Calculate \frac{1}{150} to the power of 2 and get \frac{1}{22500}.

$$\frac{1}{2}\times \frac{1}{22500}\times 0.4$$

Multiply \frac{1}{2} and \frac{1}{22500} to get \frac{1}{45000}.

$$\frac{1}{45000}\times 0.4$$

Multiply \frac{1}{45000} and 0.4 to get \frac{1}{112500}.

$$\frac{1}{112500}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {5}} = 8.88888888888889 \times 10^{-6}$$