Solve (10.793*0.13)div(1-left(1div1.13right)^5

$$(10.793 \times 0.13) \div (1- { \left(1 \div 1.13 \right) }^{ 5 }$$

Evaluate

$$\frac{198854028901849}{64802706100000}\approx 3.068606866$$

Solution Steps

Multiply 10.793 and 0.13 to get 1.40309.

$$\frac{1.40309}{1-\left(\frac{1}{1.13}\right)^{5}}$$

Expand \frac{1}{1.13} by multiplying both numerator and the denominator by 100.

$$\frac{1.40309}{1-\left(\frac{100}{113}\right)^{5}}$$

Calculate \frac{100}{113} to the power of 5 and get \frac{10000000000}{18424351793}.

$$\frac{1.40309}{1-\frac{10000000000}{18424351793}}$$

Subtract \frac{10000000000}{18424351793} from 1 to get \frac{8424351793}{18424351793}.

$$\frac{1.40309}{\frac{8424351793}{18424351793}}$$

Divide 1.40309 by \frac{8424351793}{18424351793} by multiplying 1.40309 by the reciprocal of \frac{8424351793}{18424351793}.

$$1.40309\times \frac{18424351793}{8424351793}$$

Multiply 1.40309 and \frac{18424351793}{8424351793} to get \frac{198854028901849}{64802706100000}.

$$\frac{198854028901849}{64802706100000}$$

Factor

$$\frac{43 \cdot 251 \cdot 113 ^ {5}}{11 \cdot 1721 \cdot 34231 \cdot 2 ^ {5} \cdot 5 ^ {5}} = 3\frac{4445910601849}{64802706100000} = 3.0686068664322184$$