Solve {left(3.6/9right)}^2*6

$${ \left( \frac{ 3.6 }{ 9 } \right) }^{ 2 } \times 6$$

Evaluate

$$0.96$$

Solution Steps

Expand \frac{3.6}{9} by multiplying both numerator and the denominator by 10.

$$\left(\frac{36}{90}\right)^{2}\times 6$$

Reduce the fraction \frac{36}{90} to lowest terms by extracting and canceling out 18.

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

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

$$\frac{4}{25}\times 6$$

Multiply \frac{4}{25} and 6 to get \frac{24}{25}.

$$\frac{24}{25}$$

Factor

$$\frac{3 \cdot 2 ^ {3}}{5 ^ {2}} = 0.96$$