Solve (.5067*(8.72^2-7.625^2)*500)div159

$$(.5067 \times ( { 8.72 }^{ 2 } - { 7.625 }^{ 2 } ) \times 500) \div 159$$

Evaluate

$$\frac{1209173679}{42400000}\approx 28.518247146$$

Solution Steps

Calculate 8.72 to the power of 2 and get 76.0384.

$$\frac{0.5067\left(76.0384-7.625^{2}\right)\times 500}{159}$$

Calculate 7.625 to the power of 2 and get 58.140625.

$$\frac{0.5067\left(76.0384-58.140625\right)\times 500}{159}$$

Subtract 58.140625 from 76.0384 to get 17.897775.

$$\frac{0.5067\times 17.897775\times 500}{159}$$

Multiply 0.5067 and 17.897775 to get 9.0688025925.

$$\frac{9.0688025925\times 500}{159}$$

Multiply 9.0688025925 and 500 to get 4534.40129625.

$$\frac{4534.40129625}{159}$$

Expand \frac{4534.40129625}{159} by multiplying both numerator and the denominator by 100000000.

$$\frac{453440129625}{15900000000}$$

Reduce the fraction \frac{453440129625}{15900000000} to lowest terms by extracting and canceling out 375.

$$\frac{1209173679}{42400000}$$

Factor

$$\frac{7 \cdot 73 \cdot 467 \cdot 563 \cdot 3 ^ {2}}{53 \cdot 2 ^ {8} \cdot 5 ^ {5}} = 28\frac{21973679}{42400000} = 28.518247146226415$$