Solve 1.05^25-1/0.05

$$\frac{ { 1.05 }^{ 25 } -1 }{ 0.05 }$$

Evaluate

$$47.727098817987696334166673333674728870391845703125$$

Solution Steps

Calculate 1.05 to the power of 25 and get 3.38635494089938481670833366668373644351959228515625.

$$\frac{3.38635494089938481670833366668373644351959228515625-1}{0.05}$$

Subtract 1 from 3.38635494089938481670833366668373644351959228515625 to get 2.38635494089938481670833366668373644351959228515625.

$$\frac{2.38635494089938481670833366668373644351959228515625}{0.05}$$

Expand \frac{2.38635494089938481670833366668373644351959228515625}{0.05} by multiplying both numerator and the denominator by 100000000000000000000000000000000000000000000000000.

$$\frac{238635494089938481670833366668373644351959228515625}{5000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{238635494089938481670833366668373644351959228515625}{5000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 298023223876953125.

$$\frac{800727845922724266740722458520501}{16777216000000000000000000000000}$$

Factor

$$\frac{101 \cdot 331 \cdot 2671 \cdot 3701 \cdot 5801 \cdot 417676196654696801}{2 ^ {48} \cdot 5 ^ {24}} = 47\frac{1.2198693922724302 \times 10^{31}}{1.6777216 \times 10^{31}} = 47.727098817987695$$