Solve 18.84*12+left(18.84div3.14div2right)^2*3.14

$$18.84 \times 12+ { \left(18.84 \div 3.14 \div 2 \right) }^{ 2 } \times 3.14$$

Evaluate

$$254.34$$

Solution Steps

Multiply 18.84 and 12 to get 226.08.

$$226.08+\left(\frac{\frac{18.84}{3.14}}{2}\right)^{2}\times 3.14$$

Express \frac{\frac{18.84}{3.14}}{2} as a single fraction.

$$226.08+\left(\frac{18.84}{3.14\times 2}\right)^{2}\times 3.14$$

Multiply 3.14 and 2 to get 6.28.

$$226.08+\left(\frac{18.84}{6.28}\right)^{2}\times 3.14$$

Expand \frac{18.84}{6.28} by multiplying both numerator and the denominator by 100.

$$226.08+\left(\frac{1884}{628}\right)^{2}\times 3.14$$

Divide 1884 by 628 to get 3.

$$226.08+3^{2}\times 3.14$$

Calculate 3 to the power of 2 and get 9.

$$226.08+9\times 3.14$$

Multiply 9 and 3.14 to get 28.26.

$$226.08+28.26$$

Add 226.08 and 28.26 to get 254.34.

$$254.34$$

Factor

$$\frac{157 \cdot 3 ^ {4}}{2 \cdot 5 ^ {2}} = 254\frac{17}{50} = 254.34$$