Solve 1-0.98^6/1-0.98

$$\frac{ 1- { 0.98 }^{ 6 } }{ 1-0.98 }$$

Evaluate

$$5.7078809568$$

Solution Steps

Calculate 0.98 to the power of 6 and get 0.885842380864.

$$\frac{1-0.885842380864}{1-0.98}$$

Subtract 0.885842380864 from 1 to get 0.114157619136.

$$\frac{0.114157619136}{1-0.98}$$

Subtract 0.98 from 1 to get 0.02.

$$\frac{0.114157619136}{0.02}$$

Expand \frac{0.114157619136}{0.02} by multiplying both numerator and the denominator by 1000000000000.

$$\frac{114157619136}{20000000000}$$

Reduce the fraction \frac{114157619136}{20000000000} to lowest terms by extracting and canceling out 64.

$$\frac{1783712799}{312500000}$$

Factor

$$\frac{11 \cdot 19 \cdot 43 \cdot 7351 \cdot 3 ^ {3}}{2 ^ {5} \cdot 5 ^ {10}} = 5\frac{221212799}{312500000} = 5.7078809568$$