Solve (25*12div3*14div2)^2*3.14*2.4*1/3

$$( 25 \cdot 12 \div 3 \cdot 14 \div 2 ) ^ { 2 } \times 3.14 \times 2.4 \times \frac { 1 } { 3 }$$

Evaluate

$$1230880$$

Solution Steps

Multiply 25 and 12 to get 300.

$$\left(\frac{\frac{300}{3}\times 14}{2}\right)^{2}\times 3.14\times 2.4\times \frac{1}{3}$$

Divide 300 by 3 to get 100.

$$\left(\frac{100\times 14}{2}\right)^{2}\times 3.14\times 2.4\times \frac{1}{3}$$

Multiply 100 and 14 to get 1400.

$$\left(\frac{1400}{2}\right)^{2}\times 3.14\times 2.4\times \frac{1}{3}$$

Divide 1400 by 2 to get 700.

$$700^{2}\times 3.14\times 2.4\times \frac{1}{3}$$

Calculate 700 to the power of 2 and get 490000.

$$490000\times 3.14\times 2.4\times \frac{1}{3}$$

Multiply 490000 and 3.14 to get 1538600.

$$1538600\times 2.4\times \frac{1}{3}$$

Multiply 1538600 and 2.4 to get 3692640.

$$3692640\times \frac{1}{3}$$

Multiply 3692640 and \frac{1}{3} to get 1230880.

$$1230880$$

Factor

$$5\times 157\times 2^{5}\times 7^{2}$$