Solve 6.238.31^2/7.68^23.2^2

$$\frac{ 6.23 { 8.31 }^{ 2 } }{ { 7.68 }^{ 2 } { 3.2 }^{ 2 } }$$

Evaluate

$$0.71230779588222503662109375$$

Solution Steps

Calculate 8.31 to the power of 2 and get 69.0561.

$$\frac{6.23\times 69.0561}{7.68^{2}\times 3.2^{2}}$$

Multiply 6.23 and 69.0561 to get 430.219503.

$$\frac{430.219503}{7.68^{2}\times 3.2^{2}}$$

Calculate 7.68 to the power of 2 and get 58.9824.

$$\frac{430.219503}{58.9824\times 3.2^{2}}$$

Calculate 3.2 to the power of 2 and get 10.24.

$$\frac{430.219503}{58.9824\times 10.24}$$

Multiply 58.9824 and 10.24 to get 603.979776.

$$\frac{430.219503}{603.979776}$$

Expand \frac{430.219503}{603.979776} by multiplying both numerator and the denominator by 1000000.

$$\frac{430219503}{603979776}$$

Reduce the fraction \frac{430219503}{603979776} to lowest terms by extracting and canceling out 9.

$$\frac{47802167}{67108864}$$

Factor

$$\frac{7 \cdot 89 \cdot 277 ^ {2}}{2 ^ {26}} = 0.712307795882225$$