Solve 6.58.85^2/7.14^22.66^2

$$\frac{ 6.5 { 8.85 }^{ 2 } }{ { 7.14 }^{ 2 } { 2.66 }^{ 2 } }$$

Evaluate

$$\frac{707078125}{500987858}\approx 1.411367788$$

Solution Steps

Calculate 8.85 to the power of 2 and get 78.3225.

$$\frac{6.5\times 78.3225}{7.14^{2}\times 2.66^{2}}$$

Multiply 6.5 and 78.3225 to get 509.09625.

$$\frac{509.09625}{7.14^{2}\times 2.66^{2}}$$

Calculate 7.14 to the power of 2 and get 50.9796.

$$\frac{509.09625}{50.9796\times 2.66^{2}}$$

Calculate 2.66 to the power of 2 and get 7.0756.

$$\frac{509.09625}{50.9796\times 7.0756}$$

Multiply 50.9796 and 7.0756 to get 360.71125776.

$$\frac{509.09625}{360.71125776}$$

Expand \frac{509.09625}{360.71125776} by multiplying both numerator and the denominator by 100000000.

$$\frac{50909625000}{36071125776}$$

Reduce the fraction \frac{50909625000}{36071125776} to lowest terms by extracting and canceling out 72.

$$\frac{707078125}{500987858}$$

Factor

$$\frac{13 \cdot 5 ^ {6} \cdot 59 ^ {2}}{2 \cdot 7 ^ {4} \cdot 17 ^ {2} \cdot 19 ^ {2}} = 1\frac{206090267}{500987858} = 1.4113677880792073$$