Solve (4310*0.13)div(1-left(1div1.13right)^5

$$(4310 \times 0.13) \div (1- { \left(1 \div 1.13 \right) }^{ 5 }$$

Evaluate

$$\frac{7940895622783}{6480270610}\approx 1225.395681861$$

Solution Steps

Multiply 4310 and 0.13 to get 560.3.

$$\frac{560.3}{1-\left(\frac{1}{1.13}\right)^{5}}$$

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

$$\frac{560.3}{1-\left(\frac{100}{113}\right)^{5}}$$

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

$$\frac{560.3}{1-\frac{10000000000}{18424351793}}$$

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

$$\frac{560.3}{\frac{8424351793}{18424351793}}$$

Divide 560.3 by \frac{8424351793}{18424351793} by multiplying 560.3 by the reciprocal of \frac{8424351793}{18424351793}.

$$560.3\times \frac{18424351793}{8424351793}$$

Multiply 560.3 and \frac{18424351793}{8424351793} to get \frac{7940895622783}{6480270610}.

$$\frac{7940895622783}{6480270610}$$

Factor

$$\frac{431 \cdot 113 ^ {5}}{2 \cdot 5 \cdot 11 \cdot 1721 \cdot 34231} = 1225\frac{2564125533}{6480270610} = 1225.3956818607303$$