Solve 56(0.75^4-1)/0.75-1

$$\frac{ 56( { 0.75 }^{ 4 } -1) }{ 0.75-1 }$$

Evaluate

$$153.125$$

Solution Steps

Calculate 0.75 to the power of 4 and get 0.31640625.

$$\frac{56\left(0.31640625-1\right)}{0.75-1}$$

Subtract 1 from 0.31640625 to get -0.68359375.

$$\frac{56\left(-0.68359375\right)}{0.75-1}$$

Multiply 56 and -0.68359375 to get -38.28125.

$$\frac{-38.28125}{0.75-1}$$

Subtract 1 from 0.75 to get -0.25.

$$\frac{-38.28125}{-0.25}$$

Expand \frac{-38.28125}{-0.25} by multiplying both numerator and the denominator by 100000.

$$\frac{-3828125}{-25000}$$

Reduce the fraction \frac{-3828125}{-25000} to lowest terms by extracting and canceling out -3125.

$$\frac{1225}{8}$$

Factor

$$\frac{5 ^ {2} \cdot 7 ^ {2}}{2 ^ {3}} = 153\frac{1}{8} = 153.125$$