Solve 125*6div(12*56div3*14div2)^2=

$$125 \cdot 6 \div ( 12 \cdot 56 \div 3 \cdot 14 \div 2 ) ^ { 2 } =$$

Evaluate

$$\frac{375}{1229312}\approx 0.000305049$$

Solution Steps

Multiply 125 and 6 to get 750.

$$\frac{750}{\left(\frac{\frac{12\times 56}{3}\times 14}{2}\right)^{2}}$$

Multiply 12 and 56 to get 672.

$$\frac{750}{\left(\frac{\frac{672}{3}\times 14}{2}\right)^{2}}$$

Divide 672 by 3 to get 224.

$$\frac{750}{\left(\frac{224\times 14}{2}\right)^{2}}$$

Multiply 224 and 14 to get 3136.

$$\frac{750}{\left(\frac{3136}{2}\right)^{2}}$$

Divide 3136 by 2 to get 1568.

$$\frac{750}{1568^{2}}$$

Calculate 1568 to the power of 2 and get 2458624.

$$\frac{750}{2458624}$$

Reduce the fraction \frac{750}{2458624} to lowest terms by extracting and canceling out 2.

$$\frac{375}{1229312}$$

Factor

$$\frac{3 \cdot 5 ^ {3}}{2 ^ {9} \cdot 7 ^ {4}} = 0.00030504867763431903$$