Solve 1/3*3.6^2*3

$$\frac { 1 } { 3 } \cdot 3.6 ^ { 2 } \cdot 3$$

Evaluate

$$12.96$$

Solution Steps

Calculate 3.6 to the power of 2 and get 12.96.

$$\frac{1}{3}\times 12.96\times 3$$

Convert decimal number 12.96 to fraction \frac{1296}{100}. Reduce the fraction \frac{1296}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}\times \frac{324}{25}\times 3$$

Multiply \frac{1}{3} times \frac{324}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 324}{3\times 25}\times 3$$

Do the multiplications in the fraction \frac{1\times 324}{3\times 25}.

$$\frac{324}{75}\times 3$$

Reduce the fraction \frac{324}{75} to lowest terms by extracting and canceling out 3.

$$\frac{108}{25}\times 3$$

Express \frac{108}{25}\times 3 as a single fraction.

$$\frac{108\times 3}{25}$$

Multiply 108 and 3 to get 324.

$$\frac{324}{25}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {4}}{5 ^ {2}} = 12\frac{24}{25} = 12.96$$