Solve .5067*(8.353^2-5.875^2)*1000*1.42233

$$.5067 \times ( { 8.353 }^{ 2 } - { 5.875 }^{ 2 } ) \times 1000 \times 1.42233$$

Evaluate

$$25409.518368913224$$

Solution Steps

Calculate 8.353 to the power of 2 and get 69.772609.

$$0.5067\left(69.772609-5.875^{2}\right)\times 1000\times 1.42233$$

Calculate 5.875 to the power of 2 and get 34.515625.

$$0.5067\left(69.772609-34.515625\right)\times 1000\times 1.42233$$

Subtract 34.515625 from 69.772609 to get 35.256984.

$$0.5067\times 35.256984\times 1000\times 1.42233$$

Multiply 0.5067 and 35.256984 to get 17.8647137928.

$$17.8647137928\times 1000\times 1.42233$$

Multiply 17.8647137928 and 1000 to get 17864.7137928.

$$17864.7137928\times 1.42233$$

Multiply 17864.7137928 and 1.42233 to get 25409.518368913224.

$$25409.518368913224$$

Factor

$$\frac{13 \cdot 59 \cdot 521 \cdot 563 \cdot 3557 \cdot 3 ^ {4} \cdot 7 ^ {2}}{2 ^ {9} \cdot 5 ^ {12}} = 25409\frac{64796114153}{125000000000} = 25409.518368913225$$