Solve left(125.6div3.14div2right)^2*15*3.14=

$${ \left(125.6 \div 3.14 \div 2 \right) }^{ 2 } \times 15 \times 3.14=$$

Evaluate

$$18840$$

Solution Steps

Express \frac{\frac{125.6}{3.14}}{2} as a single fraction.

$$\left(\frac{125.6}{3.14\times 2}\right)^{2}\times 15\times 3.14$$

Multiply 3.14 and 2 to get 6.28.

$$\left(\frac{125.6}{6.28}\right)^{2}\times 15\times 3.14$$

Expand \frac{125.6}{6.28} by multiplying both numerator and the denominator by 100.

$$\left(\frac{12560}{628}\right)^{2}\times 15\times 3.14$$

Divide 12560 by 628 to get 20.

$$20^{2}\times 15\times 3.14$$

Calculate 20 to the power of 2 and get 400.

$$400\times 15\times 3.14$$

Multiply 400 and 15 to get 6000.

$$6000\times 3.14$$

Multiply 6000 and 3.14 to get 18840.

$$18840$$

Factor

$$3\times 5\times 157\times 2^{3}$$