Solve f(675)=1.75^3-8/1.75-2

$$f ( 675 ) = \frac { 1.75 ^ { 3 } - 8 } { 1.75 - 2 }$$

Evaluate

$$10.5625$$

Solution Steps

Calculate 1.75 to the power of 3 and get 5.359375.

$$\frac{5.359375-8}{1.75-2}$$

Subtract 8 from 5.359375 to get -2.640625.

$$\frac{-2.640625}{1.75-2}$$

Subtract 2 from 1.75 to get -0.25.

$$\frac{-2.640625}{-0.25}$$

Expand \frac{-2.640625}{-0.25} by multiplying both numerator and the denominator by 1000000.

$$\frac{-2640625}{-250000}$$

Reduce the fraction \frac{-2640625}{-250000} to lowest terms by extracting and canceling out -15625.

$$\frac{169}{16}$$

Factor

$$\frac{13 ^ {2}}{2 ^ {4}} = 10\frac{9}{16} = 10.5625$$