Solve 1/3{left(4/2right)}^23.14*5*7.8

$$\frac{ 1 }{ 3 } { \left( \frac{ 4 }{ 2 } \right) }^{ 2 } 3.14 \cdot 5 \times 7.8$$

Evaluate

$$163.28$$

Solution Steps

Divide 4 by 2 to get 2.

$$\frac{1}{3}\times 2^{2}\times 3.14\times 5\times 7.8$$

Calculate 2 to the power of 2 and get 4.

$$\frac{1}{3}\times 4\times 3.14\times 5\times 7.8$$

Multiply \frac{1}{3} and 4 to get \frac{4}{3}.

$$\frac{4}{3}\times 3.14\times 5\times 7.8$$

Multiply \frac{4}{3} and 3.14 to get \frac{314}{75}.

$$\frac{314}{75}\times 5\times 7.8$$

Multiply \frac{314}{75} and 5 to get \frac{314}{15}.

$$\frac{314}{15}\times 7.8$$

Multiply \frac{314}{15} and 7.8 to get \frac{4082}{25}.

$$\frac{4082}{25}$$

Factor

$$\frac{2 \cdot 13 \cdot 157}{5 ^ {2}} = 163\frac{7}{25} = 163.28$$