Solve 400{left(6*frac{29/frac{frac{frac{frac{frac{frac{frac{frac{frac{frac{frac{frac{{}}{}}{}}{}}{}}{}}{}}{}}{}}{}}{}}{}}8-22*74right)}^2}{28*372*80*320}

$$\frac{ 400 { \left(6 \cdot \frac{ 29 }{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ \frac{ }{ } }{ } }{ } }{ } }{ } }{ } }{ } }{ } }{ } }{ } }{ } }{ } } 8-22 \cdot 74 \right) }^{ 2 } }{ 28 \cdot 372 \cdot 80 \cdot 320 }$$

Evaluate

$$\frac{3481}{41664}\approx 0.083549347$$

Solution Steps

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}{1}}{1}}{1}}{1}}{1}}{1}}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}{1}}{1}}{1}}{1}}{1}}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}{1}}{1}}{1}}{1}}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}{1}}{1}}{1}}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}{1}}{1}}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{\frac{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}{1}}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{\frac{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}{1}}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{\frac{\frac{\frac{\frac{1}{1}}{1}}{1}}{1}}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{\frac{\frac{\frac{1}{1}}{1}}{1}}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{\frac{\frac{1}{1}}{1}}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{\frac{1}{1}}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Divide 1 by 1 to get 1.

$$\frac{400\left(6\times \frac{29}{1}\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Anything divided by one gives itself.

$$\frac{400\left(6\times 29\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Multiply 6 and 29 to get 174.

$$\frac{400\left(174\times 8-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Multiply 174 and 8 to get 1392.

$$\frac{400\left(1392-22\times 74\right)^{2}}{28\times 372\times 80\times 320}$$

Multiply 22 and 74 to get 1628.

$$\frac{400\left(1392-1628\right)^{2}}{28\times 372\times 80\times 320}$$

Subtract 1628 from 1392 to get -236.

$$\frac{400\left(-236\right)^{2}}{28\times 372\times 80\times 320}$$

Calculate -236 to the power of 2 and get 55696.

$$\frac{400\times 55696}{28\times 372\times 80\times 320}$$

Multiply 400 and 55696 to get 22278400.

$$\frac{22278400}{28\times 372\times 80\times 320}$$

Multiply 28 and 372 to get 10416.

$$\frac{22278400}{10416\times 80\times 320}$$

Multiply 10416 and 80 to get 833280.

$$\frac{22278400}{833280\times 320}$$

Multiply 833280 and 320 to get 266649600.

$$\frac{22278400}{266649600}$$

Reduce the fraction \frac{22278400}{266649600} to lowest terms by extracting and canceling out 6400.

$$\frac{3481}{41664}$$

Factor

$$\frac{59 ^ {2}}{2 ^ {6} \cdot 3 \cdot 7 \cdot 31} = 0.08354934715821813$$