Solve (.5067(left(12.250right)^2-9.625^2)150)div159

$$(.5067( { \left(12.250 \right) }^{ 2 } - { 9.625 }^{ 2 } )150) \div 159$$

Evaluate

$$\frac{744849}{27136}\approx 27.448739682$$

Solution Steps

Calculate 12.25 to the power of 2 and get 150.0625.

$$\frac{0.5067\left(150.0625-9.625^{2}\right)\times 150}{159}$$

Calculate 9.625 to the power of 2 and get 92.640625.

$$\frac{0.5067\left(150.0625-92.640625\right)\times 150}{159}$$

Subtract 92.640625 from 150.0625 to get 57.421875.

$$\frac{0.5067\times 57.421875\times 150}{159}$$

Multiply 0.5067 and 57.421875 to get 29.0956640625.

$$\frac{29.0956640625\times 150}{159}$$

Multiply 29.0956640625 and 150 to get 4364.349609375.

$$\frac{4364.349609375}{159}$$

Expand \frac{4364.349609375}{159} by multiplying both numerator and the denominator by 1000000000.

$$\frac{4364349609375}{159000000000}$$

Reduce the fraction \frac{4364349609375}{159000000000} to lowest terms by extracting and canceling out 5859375.

$$\frac{744849}{27136}$$

Factor

$$\frac{563 \cdot 3 ^ {3} \cdot 7 ^ {2}}{53 \cdot 2 ^ {9}} = 27\frac{12177}{27136} = 27.448739681603772$$